Hi,
You haven't said exactly which memory modules that you have used in the motherboard or if they are listed by the manufacturer as compatible or even if you purchased them as a matching kit rather than separate sticks.
I haven't tried on your particular motherboard but I have used several Z77 chipset boards from Gigabyte with 1600 memory filling the slots without problem. You do realise that if you fill all the memory slots that you have to increase the voltage a touch as the memory controller will need extra power for the added load. Most motherboards are actually configured with two modules in mind as optimal. Sometimes you can get away with not upping it but it is something that you should be prepared to do.
Excuse me, the sticks are F3-12800CL9Q-16GBZL which are on Gigabyte´s approved list. The manufacturer´s specs for the sticks and intels owns specs is 1.5 if Gigabyte cant work with that, then it can clearly not support the product like it claims. That is what the OC clarification is for on other boards either that or clarify it can not handle 4 sticks, what you are essentially confirming is that Gigabyte can not support what it claims it can.
In fact, this is direct from intels forum:
Yes is could affect your system, since this new technology of processors has the Memory Controller Hub (MCH) inside of them, so now the processor is the component that controls the memory. Specifically for your processor i7-3770K the MCH on it, was designed to support DDR3-1333/1600MHz memory at 1.5V. This information is on the following link; please check the paragraph that says memory specifications:
[..]
Our recommendation is that you please try to change your memory, since based on the voltage that it uses to work, it is not compatible with the processor, and based on the previous scenarios I described this could be dangerous for your processor.
From:
http://communities.intel.com/thread/30798So i have a CPU which works at 1.5, memories tested at 1.5, and a board which claims can handle the kit, which obviously can not unless i alter the CPU and Memories manufacturers specs.