BSOD BBCode 124

Hello everyone, I've been having trouble with BSOD for a while and yesterday after doing about all I could to track down the issue with little success I reinstalled Windows to no avail. I have run RAM tests with no problems, and tested my GPU on this computer and in another. In this computer it crashed, and on the other computer it generated a number of errors and didn't crash. I also ran another GPU in this computer for a bit a while ago and I don't believe that I crashed while I was using it. My assumption at this point is that I need to replace my GPU, but I wanted the opinion of some more technically advance individuals.

Problem signature:
Problem Event Name: BlueScreen
OS Version: 6.1.7601.2.1.0.768.3
Locale ID: 1033

Additional information about the problem:
BCCode: 124
BCP1: 0000000000000000
BCP2: FFFFFA801016C028
BCP3: 00000000BE200000
BCP4: 000000000005110A
OS Version: 6_1_7601
Service Pack: 1_0
Product: 768_1

Dump File: 022513-19016-01.dmp
Crash Time: 2/25/2013 6:51:49 PM
Bug Check Code: 0x00000124
Parameter 1: 00000000`00000000
Parameter 2: fffffa80`1016c028
Parameter 3: 00000000`be200000
Parameter 4: 00000000`0005110a
Caused By Driver: hal.dll
Caused By Address: hal.dll+12a3b
Processor: x64
Crash Address: ntoskrnl.exe+75c40
Full Path: C:\Windows\Minidump\022513-19016-01.dmp
Processors Count: 4
Major Version: 15
Minor Version: 7601
Dump File Size: 291,736