Brand new build, BSoD with bccodes F4 and 7A

Hey all, this is my first time posting on the forums, so don't mind any bad etiquette. About 3 weeks ago I built myself a new computer for the first time. The installation went smoothly and everything worked perfectly fine. For the first two weeks, no errors in sight. I was playing games such as Bioshock Infinite (bloody great game btw) and Metro 2033 without issue. Then, a few days ago, my computer BSoD while playing through Bioshock. It went by rather quick so I couldn't read the error screen, but after a prompt reboot, everything was back to normal. After researching the error code (F4), I made the assumption it was my graphic driver. I reinstalled it and went back on my way. Since then, I've had three more BSoDs, each with codes differing from F4 and 7A. During these three times, I wasn't gaming or doing anything extensive, so I don't believe it's my graphics card. I found this site and hoped that someone out there could properly help me. I attached below my diagnostic zip.

My build:
Gigabyte Z87X-D3H
EVGA Superclocked 760 w/ACX Cooling
Intel Core i5 4670l
Corsair Vengeance Pro Red (8GB, 2 modules)
Cooler Master Hyper 212 EVO
WD Cavier Blue (1TB)
Corsair 200R Mid Tower Case

My temperatures have stayed insanely low (CPU only hitting 45 Celsius on load, GPU reaching 55 Celsius). Any help will be greatly appreciated. I apologize again for any improper etiquette, I'm here out of panic!

I ran all those tests the moment you sent them, and came up with nothing. However, I didn't get another blue screen, so I assumed something had been fixed, that is until now. I just got another one, this time with the error code F4. I am uploading the new minidump, as well as the screenshot you requested. Thank you for your assistance.

I ran a quick scan and came up with nothing, I am currently 15 minutes away from completing the extended test.

Extended hard drive test just finished, came back with a pass.

With the memtest, I only gave 5 passes for each one and didn't get any issues. However, I realize now that may not be enough, so I am gonna run another one tonight, allowing it to get up to at least 10 passes for each stick. I ran stress tests on my video card and processor, both passed with flying colours (my processor stayed at a very cool 65 degrees for most of the tests!). As for the 124 stuff, I have done everything except for the aforementioned correct memtest, as well as I haven't done a clean install of Windows, as I feel thats a drastic measure for right now. From what I've seen, I'm lead to believe that the issue is memory based. I have written a list of times I have had blue screens and what I was doing:

1. Playing Bioshock Infinite on max settings
2. Video skyping while web browsing (Google Chrome)
3. Nothing at all (on the desktop)
4. Immediately after booting up the machine and trying to open an application.

I think it's interesting to note that inbetween these blue screens, I have played countless games and skyped for many hours without issue. The blue screens seem to be completely random, sometimes happening at power extensive times, sometimes happening on very light loads. This problem seems to be more annoying then anything. Is it possible this is a software issue? Would a complete reinstall of Windows be necessary?

I really do appreciate your help, friend. It's really frustrating to have put all this time and effort into a new computer, only to have it give unknown errors and problems.