RookieOfTheYear :
Don't listen to TopLuca. If you are playing games and have an athalon 64 with a GTX 970, your performance will be held back by the CPU. But to answer your question. The 6300 can handle a lot more powerful GPU than the 250x. You could run a 280x with that CPU and have a very nice gaming experience. Also note that the 6300 overclocks very easily. So if you want more performance from it, get a CM hyper 212 Evo and look up some overclocking guides.
Have you really read what I said ? Stop just posting answering for the sake of it without reading and moreover you're just dismissing my advice when you basically said something similar.
A GPU can't bottleneck a CPU , that's true and if you think otherwise then..... you know.