When compiling for Nvidia chips there's only one target. I believe all Nvidia chips despite different architectures use the same underlying assembly language. So a cuda binary should work everywhere.
It's not gpu architecture here. Nvidia makes sure that the API to that architecture remains constant. The differences that are happening are high level architectures. Consoles aren't like PCs that follow the same overall architecture. They are usually massively different each generation, with different central chips different board layouts, etc. Etc. Sony use to get really creative with this... I remember the cell architecture was extremely innovative at the time.
However I believe for the most recent generations of playstation and for all Xboxes those consoles have closely followed the PC architecture. Nintendo consoles have yet to do this though, each console is massively different from the PC and each other with the exception of GameCube and Wii u which were largely similar.