No, the 6300 will be fine, especially if you grab an aftermarket cooler, i recommend the coolermaster 212 evo, and OC it. The 6300 is the minimum you want to go with your processor though.
Otherwise the processor is alright and the gpu is good too, but the prices of the 280x are elevated beyond what they should be right now. A 770 is slightly faster than a 280x so if they are the same price go with the 770.
ok i live in india and here the price of the gtx 770 is $550(35000 rupees) and the 280x prices around $380(23560 rupees).that is the problem we indians have got..
Oh, well nevermind about the prices then. I currently am playing battlefield on a 280x and it runs ultra no problem, I didn't have any FPS monitor up but I didn't notice a change between high and ultra graphics. The 280x will be a great single screen card for a while.
No, the 6300 will be fine, especially if you grab an aftermarket cooler, i recommend the coolermaster 212 evo, and OC it. The 6300 is the minimum you want to go with your processor though.