I did quite well on my GREs -- perfect scores on all three sections of the general test, and a result in the 98th percentile on the relevant subject GRE test. I'm applying for Ph.D. programs in a STEM field and will naturally submit these scores as part of my application.
However, I'll also be applying for fellowships like the NSF graduate fellowship and the Hertz. It's my understanding that these fellowships do not require the GRE, but I would assume these strong scores might work in my favor if the relevant committees were to know about them. Can/should I include these scores on the CV I submit with my application, or is doing so always considered gauche?