Hi and welcome.
I think that you are confused here as the graphics card has nothing to do with you having your unique ID code. The code you are referring to I take it is the one that it wan't you to input whan installing the game. If so it should be on the backpage of the booklet that came with the game or if you bought a downloadable version then it should have been emailed to you. It is normally five sets of four digits with hypens in between them.
If you are referring to any other numbers please give a bit more information so that we are not left guessing please.