how good is the AMD A4-3300 APU With Radeon HD Graphic for playing games like gta 5 and batman arkham knight will it even work?
Can't really expect to play those games with such APU. Its targeted to basic PC processing like email, videos, music and basic gaming. Games you can expect to play are older then 2010 games or games like Dota 2, LoL , Counter-Strike in low settings. Best thing to do is try but dont go out and buy a $60 game to play with $50 APU.
I get a max of 60fps on my A12 on my current laptop computer. the A4 was never made for games, and therefore proably can't get enough performance to be usable. if you can stand seconds per frame, then an A4 is fine, but otherwise, no, and A4 is not going to cut the buck.
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