Gigabyte 7750 1st
the 7750 can handle BF3 without requiring any external power
6770 is a now a outclassed Graphics card but its still a decent card for low end users
not really worth considering
The HD 7750 and 6770 trade blows in gaming - with the 7750 often coming out on top in DX11 games, and the 6770 winning in most older games. The 7750 draws much less power, and may be better if you like to keep up with new releases.