It depends on the resolution and settings you are using. The lower the resolution and detail settings, the more apparent effect the CPU will have on the game. The 770 will definitely be limited by the CPU at the higher end of games but again, depending on your monitor setup, if you are using a single 1080/1200/1440 monitor, you will see good FPS in realistically any game at all with a 770 and your CPU.
I am only doing 1080p but got 144hz monitor. Dont really care as long as its over 60. Thanks for the reply.