at that price I'd want a 4770k over an amd product as it is still the best gaming CPU out there. The asus hero mobo is a good matchup for the 4770k if you go that route.
RAM is a little overkill as games do not benefit much from higher frequency RAM.
Personally, I'd choose an asus, msi or evga 780 ti over the gigabyte, but that's more personal preference for those cards.