Would a 5770 be bottlenecked by an Athlon 650?

Firestar

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Nov 25, 2010
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So right now I have an Athlon x3 650 and a 5570. I built this machine myself awhile back, and now I am looking into upgrading. I would like to get a 5770 but I'm worried that my CPU would bottleneck it so much I wouldn't notice an improvement over my 5570.

And if it would be severely bottlenecked, would I notice better performance if I upgraded my CPU to a Phenom 965 instead of upgrading my gfx card?