Random freezes. Help with thorough testing?

Couple things to try:

• Troubleshoot Application Conflicts by Performing a Clean Startup since lockups can occur due to software (although this is usually rare in the latest few versions of Windows).
  
  
• Check your hardware:
  • Monitor temperatures during the following tests.
    
    Use the following programs to monitor the temperatures.
    • Real Temp is a good CPU temperature monitor.
    • Speccy - System Information - Free Download will monitor all hardware temperatures.
    • HWiNFO, HWiNFO32 & HWiNFO64 - Hardware Information and Analysis Tools can be inaccurate for CPU temperatures, but is a good program for GPU temperature monitoring.
    
    
    • Use FurMark: VGA Stress Test, Graphics Card and GPU Stability Test, Burn-in Test, OpenGL Benchmark and GPU Temperature | oZone3D.Net to test the graphics card GPU. Then use the |MG| Video Memory Stress Test 1.7.116 Download to test your graphics card memory. Let the memory test run for at least seven passes; the more the better.
      
      
    • Run Hardware - Stress Test With Prime95 to determine any hardware problems. Run all three tests for a few hours each. If you get errors, stop the test and post back here.
    
    
  • Run the boot version of Memtest86+ paying close attention to Parts 2 and 3 of the tutorial. Also, in case Memtest86+ misses anything and comes up with no errors, run the extended version of the Windows Memory Diagnostics Tool for at least five passes. These you may want to run overnight since they take a long time to complete (run them an hour before bed each of the next two nights and check before going to sleep that they are still running).
    
    If you swap any memory components, follow these steps for ESD safety:
    
    1. Shut down and turn off your computer.
    2. Unplug all power supplies to the computer (AC Power then battery for laptops, AC power for desktops)
    3. Hold down the power button for 30 seconds to close the circuit and ensure all power drains from components.
    4. Make sure you are grounded by using proper grounding techniques, i.e. work on an anti-static workbench, anti-static desk, or an anti-static pad. Hold something metallic while touching it to the anti-static surface, or use an anti-static wristband to attach to the anti-static material while working.
    
    Once these steps have been followed, it is safe to remove and replace components within your computer.