Dead Rising breaks Xbox 360?

I got Dead Rising about a month ago. I havent been able to play it though because my 360 was perfectly fine(I take breaks every 1-2 hours) Ive done an all nighter one time on Gears of War. Then i go get Dead Rising, its all fine 1st day, i take my breaks lke usual. I get on the next morning, and 5 minutes in it red rings me. 2 red lights. I let it rest all day. I get on Gears of War and it works perfect, I get off. Next day I get on Dead Rising, and it did it again, but 3 red rings. I got it on 1 more time, but it went out on GOW this time, and COD4. Was this just a coincidence?