<?xml version="1.0"?><ownershipDocument><schemaVersion>X0201</schemaVersion>    <documentType>4</documentType><periodOfReport>2003-09-01</periodOfReport><notSubjectToSection16>0</notSubjectToSection16><issuer><issuerCik>0000857323</issuerCik><issuerName>GTECH HOLDINGS CORP</issuerName>        <issuerTradingSymbol>gtk</issuerTradingSymbol></issuer><reportingOwner><reportingOwnerId><rptOwnerCik>0001225252</rptOwnerCik><rptOwnerName>DONOHO BURNETT W</rptOwnerName></reportingOwnerId><reportingOwnerAddress><rptOwnerStreet1>C/O 55 TECHNOLOGY WAY</rptOwnerStreet1><rptOwnerStreet2></rptOwnerStreet2><rptOwnerCity>WEST GREENWICH</rptOwnerCity><rptOwnerState>RI</rptOwnerState><rptOwnerZipCode>02817</rptOwnerZipCode><rptOwnerStateDescription></rptOwnerStateDescription></reportingOwnerAddress><reportingOwnerRelationship><isDirector>1</isDirector><isOfficer>0</isOfficer><isTenPercentOwner>0</isTenPercentOwner><isOther>0</isOther></reportingOwnerRelationship></reportingOwner><nonDerivativeTable><nonDerivativeTransaction><securityTitle><value>Common Stock</value><footnoteId id="F1" /></securityTitle><transactionDate><value>2003-09-01</value></transactionDate><deemedExecutionDate></deemedExecutionDate><transactionCoding><transactionFormType>4</transactionFormType><transactionCode>A</transactionCode><equitySwapInvolved>0</equitySwapInvolved></transactionCoding><transactionTimeliness><value></value></transactionTimeliness><transactionAmounts><transactionShares><value>731</value></transactionShares><transactionPricePerShare><value>41.07</value></transactionPricePerShare><transactionAcquiredDisposedCode><value>A</value></transactionAcquiredDisposedCode></transactionAmounts><postTransactionAmounts><sharesOwnedFollowingTransaction><value>26671.7404</value></sharesOwnedFollowingTransaction></postTransactionAmounts><ownershipNature><directOrIndirectOwnership><value>D</value></directOrIndirectOwnership></ownershipNature></nonDerivativeTransaction></nonDerivativeTable><footnotes><footnote id="F1">Represents shares of Common Stock issued in lieu of Board of Director fees pursuant to the Issuer's 1998 Non-Employee Directors Stock Election Plan.</footnote></footnotes><remarks></remarks><ownerSignature><signatureName>Denise M. Ogilvie, Authorized Person Under Power of Attorney</signatureName><signatureDate>2003-09-02</signatureDate></ownerSignature></ownershipDocument>

