HCK Driver Signing - Minimum requirements for multiple OSs

Hi,

I’m signing a filter driver which is intended to work on windows 7 (32/64) windows 8 and windows 8.1.
Do I need to run the HCK tests on all (6!!) operating systems, or can I just sign it for windows 8.1 (or windows 7) for 32 + 64.

Thanks