Will the i3 3220 bottleneck a hd 7870

Hello tek commuunity i just built a pc with the following parts     asrock h77 motherboard intel i3 3200 cpu 8gb 1600mhz of ram 600w psu an i was wondering if a i3 3220 would bottleneck a hd 7870 or a gtx 660 if the cpu would bottleneck thoose cards which gpu should i go with that would not be bottlenecked?

Those should be fine but I would not get any thing more powerful with out upgrading your cpu.  The 7870 I think is the best bang for the buck right now so try and pick one of those up on sale.