Yes it should, but my advice as you are using a top of the line cpu, is to get a premium motherboard from asus, msi or intel. Gigabyte is better for budget builds when you are very limited in options due to money.
Here's a couple of mobo's I recommend:
No reason not to get a good motherboard when you're getting an i7 4770k
Will the GA-P75-D3 motherboard support the I7 4770K processor?
No it will not. They are different sockets. If you have that board, get a Xeon 1230v2. It will perform similar to an i7 3770. If you want to overclock, you would need a different motherboard like a Z97 extreme4 to use a 4770k.
What parts do you have?
What parts do you need?
What is your budget?
What country do you live in?
(GV-N770OC-4GD) Gigabyte GeForce GTX 770 OC 4GB GDDR5 Windforce 3X GPU,
Intel Core i7-3770K/4770K CPU
Seasonic M12II 750W EVO Edition 750-Watt PSU,
Cooler Master HAF 912 case,
I am at Egypt
My budget is about 7200 L.E which is 1009.46 US Dollar
(I already have the GA-P75-D3 Motherboard) and the (4GB ram kingston but i don't know what is its MHz)