BSOD 0x124 watching videos, playing games, etc.

I've been at a complete loss here for the past two weeks. Today was the first time I tried to take matters into my own hands. I uninstalled drivers and reinstalled them. I thought I was in the clear but after playing League of Legends my computer BSOD on me about 10 minutes in. This also happens while watching any youtube or flash video type stuff.

I would really appreciate some help as to whether this is a hardware problem or a software problem although I'm thinking hardware atm.

Thanks Golden, I'll get on that once I get home from work tonight and give an update.

First update, RAM test ended successfully with 8 tests completed and no errors.

Video test and CPU stress test both passed as well. I resocketed my RAM as well so I'm going to try playing a game and see if it still blue screens on me. I'll give updates shortly.