<?xml version="1.0" encoding="US-ASCII" ?>
    <!-- Field: Doc-Info; Name: Generator; Value: GoFiler Complete; Version: 6.4b -->
    <!-- Field: Doc-Info; Name: VendorURI; Value: https://www.novaworks.com -->
    <!-- Field: Doc-Info; Name: Status; Value: 0x00000000 -->
    <!-- Field: Doc-Info; Name: Misc; Value: +KIpo7xRiXgen8uAZHZcOaiDibPtxZ97OekhsmR0bWmqfywt6ZOxOi1gJaS2UV8J -->
<schema xmlns="http://www.w3.org/2001/XMLSchema" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:link="http://www.xbrl.org/2003/linkbase" xmlns:xbrli="http://www.xbrl.org/2003/instance" xmlns:xbrldt="http://xbrl.org/2005/xbrldt" xmlns:xbrldi="http://xbrl.org/2006/xbrldi" xmlns:dei="http://xbrl.sec.gov/dei/2025" xmlns:us-gaap="http://fasb.org/us-gaap/2025" xmlns:oef="http://xbrl.sec.gov/oef/2025" xmlns:dtr-types="http://www.xbrl.org/dtr/type/2024-01-31" xmlns:ggsfi="http://gabelli.com/20260430" elementFormDefault="qualified" targetNamespace="http://gabelli.com/20260430">
    <annotation>
      <appinfo>
        <link:linkbaseRef xlink:type="simple" xlink:href="ggsfi-20260430_pre.xml" xlink:role="http://www.xbrl.org/2003/role/presentationLinkbaseRef" xlink:arcrole="http://www.w3.org/1999/xlink/properties/linkbase" xlink:title="Presentation Links" />
        <link:linkbaseRef xlink:type="simple" xlink:href="ggsfi-20260430_lab.xml" xlink:role="http://www.xbrl.org/2003/role/labelLinkbaseRef" xlink:arcrole="http://www.w3.org/1999/xlink/properties/linkbase" xlink:title="Label Links" />
        <link:linkbaseRef xlink:type="simple" xlink:href="ggsfi-20260430_def.xml" xlink:role="http://www.xbrl.org/2003/role/definitionLinkbaseRef" xlink:arcrole="http://www.w3.org/1999/xlink/properties/linkbase" xlink:title="Definition Links" />
      </appinfo>
    </annotation>
    <import namespace="http://www.xbrl.org/2003/instance" schemaLocation="http://www.xbrl.org/2003/xbrl-instance-2003-12-31.xsd" />
    <import namespace="http://www.xbrl.org/2003/linkbase" schemaLocation="http://www.xbrl.org/2003/xbrl-linkbase-2003-12-31.xsd" />
    <import namespace="http://xbrl.sec.gov/dei/2025" schemaLocation="https://xbrl.sec.gov/dei/2025/dei-2025.xsd" />
    <import namespace="http://fasb.org/us-gaap/2025" schemaLocation="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd" />
    <import namespace="http://fasb.org/us-types/2025" schemaLocation="https://xbrl.fasb.org/us-gaap/2025/elts/us-types-2025.xsd" />
    <import namespace="http://www.xbrl.org/dtr/type/2024-01-31" schemaLocation="https://www.xbrl.org/dtr/type/2024-01-31/types.xsd" />
    <import namespace="http://xbrl.sec.gov/oef/2025" schemaLocation="https://xbrl.sec.gov/oef/2025/oef-2025.xsd" />
    <import namespace="http://xbrl.sec.gov/oef-rr/2025" schemaLocation="https://xbrl.sec.gov/oef/2025/oef-rr-2025.xsd" />
    <import namespace="http://xbrl.sec.gov/country/2025" schemaLocation="https://xbrl.sec.gov/country/2025/country-2025.xsd" />
    <import namespace="http://fasb.org/srt/2025" schemaLocation="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd" />
    <import namespace="http://fasb.org/srt-types/2025" schemaLocation="https://xbrl.fasb.org/srt/2025/elts/srt-types-2025.xsd" />
    <element id="ggsfi_S000001067Member" name="S000001067Member" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggsfi_ConcentrationRiskMember" name="ConcentrationRiskMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggsfi_EquityRiskMember" name="EquityRiskMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggsfi_InflationRiskMember" name="InflationRiskMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggsfi_ForeignSecuritiesRiskMember" name="ForeignSecuritiesRiskMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggsfi_EmergingMarketsRiskMember" name="EmergingMarketsRiskMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggsfi_InterestsRateRiskMember" name="InterestsRateRiskMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggsfi_CurrencyRiskMember" name="CurrencyRiskMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggsfi_DepositaryReceiptsMember" name="DepositaryReceiptsMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggsfi_IndustryRiskMember" name="IndustryRiskMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggsfi_GrowthStockRiskMember" name="GrowthStockRiskMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggsfi_IssuerRiskMember" name="IssuerRiskMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggsfi_ManagementRiskMember" name="ManagementRiskMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggsfi_NonDiversificationRiskMember" name="NonDiversificationRiskMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggsfi_SmallerCapitalizationRiskMember" name="SmallerCapitalizationRiskMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggsfi_LargeCapitalizationCompaniesRiskMember" name="LargeCapitalizationCompaniesRiskMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggsfi_MarketRiskMember" name="MarketRiskMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggsfi_S000001065Member" name="S000001065Member" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggsfi_S000001066Member" name="S000001066Member" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggsfi_S000001064Member" name="S000001064Member" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggsfi_ConvertibleSecuritiesMember" name="ConvertibleSecuritiesMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggsfi_CreditRiskForConvertibleSecuritiesAndFixedIncomeSecuritiesMember" name="CreditRiskForConvertibleSecuritiesAndFixedIncomeSecuritiesMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggsfi_EventDrivenRiskMember" name="EventDrivenRiskMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggsfi_LowerRatedSecuritiesMember" name="LowerRatedSecuritiesMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggsfi_S000063160Member" name="S000063160Member" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggsfi_EquityMarketRiskMember" name="EquityMarketRiskMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggsfi_MicroCapCompanyRiskMember" name="MicroCapCompanyRiskMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggsfi_LiquidityRiskMember" name="LiquidityRiskMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggsfi_LimitedOperatingHistoryMember" name="LimitedOperatingHistoryMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggsfi_C000002875Member" name="C000002875Member" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggsfi_C000002874Member" name="C000002874Member" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggsfi_C000034311Member" name="C000034311Member" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggsfi_C000002867Member" name="C000002867Member" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggsfi_C000002866Member" name="C000002866Member" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggsfi_C000034309Member" name="C000034309Member" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggsfi_C000002873Member" name="C000002873Member" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggsfi_C000002872Member" name="C000002872Member" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggsfi_C000034310Member" name="C000034310Member" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggsfi_C000002865Member" name="C000002865Member" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggsfi_C000002862Member" name="C000002862Member" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggsfi_C000034308Member" name="C000034308Member" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggsfi_C000204773Member" name="C000204773Member" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggsfi_C000204772Member" name="C000204772Member" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggsfi_C000204771Member" name="C000204771Member" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggsfi_MSCIACWorldCommunicationServicesIndexMember" name="MSCIACWorldCommunicationServicesIndexMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggsfi_MSCIACWorldIndexMember" name="MSCIACWorldIndexMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggsfi_LipperGlobalLargeCapGrowthFundClassificationMember" name="LipperGlobalLargeCapGrowthFundClassificationMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggsfi_MSCIEAFESmallCapIndexMember" name="MSCIEAFESmallCapIndexMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggsfi_MSCIWorldIndexMember" name="MSCIWorldIndexMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggsfi_SPDevelopedSmallCapIndexMember" name="SPDevelopedSmallCapIndexMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
</schema>
