<?xml version="1.0"?><ownershipDocument><schemaVersion>X0201</schemaVersion>    <documentType>4</documentType><periodOfReport>2003-08-04</periodOfReport><notSubjectToSection16>0</notSubjectToSection16><issuer><issuerCik>0000857323</issuerCik><issuerName>GTECH HOLDINGS CORP</issuerName>        <issuerTradingSymbol>gtk</issuerTradingSymbol></issuer><reportingOwner><reportingOwnerId><rptOwnerCik>0001055296</rptOwnerCik><rptOwnerName>HANLEY JEREMY J</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>2003-08-04</value></transactionDate><transactionCoding><transactionFormType>4</transactionFormType><transactionCode>A</transactionCode><equitySwapInvolved>0</equitySwapInvolved></transactionCoding><transactionTimeliness><value></value></transactionTimeliness><transactionAmounts><transactionShares><value>3000</value></transactionShares><transactionPricePerShare><value>0</value></transactionPricePerShare><transactionAcquiredDisposedCode><value>A</value></transactionAcquiredDisposedCode></transactionAmounts><postTransactionAmounts><valueOwnedFollowingTransaction><value>5008.7404</value></valueOwnedFollowingTransaction></postTransactionAmounts><ownershipNature><directOrIndirectOwnership><value>D</value></directOrIndirectOwnership></ownershipNature></nonDerivativeTransaction></nonDerivativeTable><derivativeTable><derivativeTransaction><securityTitle><value>Stock Options (Right to Buy)</value></securityTitle><conversionOrExercisePrice><value>37.87</value></conversionOrExercisePrice><transactionDate><value>2003-08-04</value></transactionDate><transactionCoding><transactionFormType>4</transactionFormType><transactionCode>A</transactionCode><equitySwapInvolved>0</equitySwapInvolved></transactionCoding><transactionTimeliness><value></value></transactionTimeliness><transactionAmounts><transactionShares><value>10000</value></transactionShares><transactionPricePerShare><value>0</value></transactionPricePerShare><transactionAcquiredDisposedCode><value>A</value></transactionAcquiredDisposedCode></transactionAmounts><exerciseDate><value>2004-08-04</value><footnoteId id="F2" /></exerciseDate><expirationDate><value>2013-08-03</value></expirationDate><underlyingSecurity><underlyingSecurityTitle><value>Common Stock</value></underlyingSecurityTitle><underlyingSecurityShares><value>10000</value></underlyingSecurityShares></underlyingSecurity><postTransactionAmounts><sharesOwnedFollowingTransaction><value>45000</value></sharesOwnedFollowingTransaction></postTransactionAmounts><ownershipNature><directOrIndirectOwnership><value>D</value></directOrIndirectOwnership></ownershipNature></derivativeTransaction></derivativeTable><footnotes><footnote id="F1">Restricted Common Stock issued under the Issuer's 2002 Omnibus Stock Option and Long-Term Incentive Plan, which vests in 4 equal installments on the anniversaries of the date of grant in 2004, 2005, 2006 and 2007.</footnote><footnote id="F2">The options in question vest on the anniversary of the date of grant in 2004, 2005, 2006 and 2007.</footnote></footnotes><remarks></remarks><ownerSignature><signatureName>Denise M. Ogilvie, Authorized Person Under Power of Attorney</signatureName><signatureDate>2003-08-05</signatureDate></ownerSignature></ownershipDocument>

