How many FPS can this run on 4K?

watchdogs must very much favour Nvidiam because with a 4GB R9-290 I rarely reach 60fps on 3k (3 x 1050) (and it uses all 4GB Vram). It really performs poorly considering the last gen graphics. CPU usage is low.

BF4 however runs easily, using only 60-70% GPU. So I expect a 780ti would be ok for 4K. It only utilises about 40-50% of the CPU too, so 6core I7 would be overkill.

ps, no PC can run without a cooler LOL!. Not sure what you were saying there.
 
You will want at least two 780 ti's for flawless 4k gaming. You can however save a bunch of money going with an I7 4790k and a motherboard in the 150$ range. Also you won't really need a h100I if you don't plan on high overclocking. So I would say save that money there, towards it to a strong 1000W+ PSU and two 780ti's or a r9 295x.
 
You may find this interesting:

http://www.pcgamer.com/uk/2014/07/29/gaming-in-4k-the-future-is-now-if-you-give-up-60-frames-per-second/

Here's a quote from the last paragraph:

"For 60 fps, you'll need at least two Nvidia 780 TIs in SLI or an AMD R9 295X2, and neither of those cards will guarantee 60 fps in every game."