Search Graphics Card By Serial Number
If you are able to find the product number of it that would be useable, the serial number is only used by gigabyte. Either way, the drivers available today are 'all-in-one' for vista/win7. (Usually only separated by 32 and 64-bit versions.) Just download and install (I'm assuming you at least know if your card is AMD/ATi or nVidia) The link below will take you directly to the download page for the AMD/ATi drivers you need This link will take you directly to the download page for the nVidia drivers you need Hope this helps you.
The correct serial numbers are located on the side walls of either of PCI, PCI-E, AGP slots, or the ATX power connector on a white sticker with a barcode and numbers. (The location varies if different models) There are 3 different types of serial number: Example 1: 134 SN. Active Boot Disk Latest Version Iso 14971 there.
Also, these drivers are the beta versions, but I can't personally advise anyone to use the older release drivers. Print Workshop 2011.