Solved BSOD only when PC sits idle for random time.

Now it is stop 0x116. Indication is towards the display environment. You are having a GTX 770.

Check if the Power Supply Unit (PSU) supplying adequate power to the computer or not.
eXtreme Power Supply Calculator
Also let us know the wattage of the PSU.

Stress test the Graphics Card using Furmark.
Video Card - Stress Test with Furmark

Let us know the results. We have to decide our next steps based on those information.
 

My Computer My Computer

Computer type
PC/Desktop
Computer Manufacturer/Model Number
Self Assembled
OS
Microsoft Windows 10 Pro Insider Preview 64-bit
CPU
Intel(R) Core(TM) i3-4130 CPU @ 3.40GHz
Motherboard
Gigabyte Technology Co., Ltd. B85M-D3H
Memory
Corsair Vengence 4GB x2 (8.00GB Dual-Channel DDR3 @ 798MHz)
Graphics Card(s)
2047MB GeForce GTS 450 (ZOTAC International)
Sound Card
Onboard (Realtek High Definition Audio)
Monitor(s) Displays
LG Flatron E2040T
Screen Resolution
1600x900
Hard Drives
Western Digital 1 TB
Seagate 500 GB
PSU
Corsair VS550
Case
Cooler Master K380
Cooling
Cooler Master Seidon 120V Plus
Keyboard
Logitech MK260r
Mouse
Logitech MK260r
Internet Speed
PMPL Broadband
Antivirus
Windows Defender + MBAM
Browser
Firefox
Other Info
Dell Studio 15" Laptop
I believe I'm all set. It was the eco power switch on my psu that was causing it. System would go into a lower power mode, which doesn't work well with the components I have.
 

My Computer My Computer

Computer type
PC/Desktop
OS
Windows 7 premium 64 bit
CPU
i7 4790K
Motherboard
Asus z97-A
Memory
16 Corsair Vengeance
Graphics Card(s)
Geforce 770 GTX
Hard Drives
Samsung 840 SSD
WD 1 TB Caviar
Good to know. :)

Let us know for any further issue.
 

My Computer My Computer

Computer type
PC/Desktop
Computer Manufacturer/Model Number
Self Assembled
OS
Microsoft Windows 10 Pro Insider Preview 64-bit
CPU
Intel(R) Core(TM) i3-4130 CPU @ 3.40GHz
Motherboard
Gigabyte Technology Co., Ltd. B85M-D3H
Memory
Corsair Vengence 4GB x2 (8.00GB Dual-Channel DDR3 @ 798MHz)
Graphics Card(s)
2047MB GeForce GTS 450 (ZOTAC International)
Sound Card
Onboard (Realtek High Definition Audio)
Monitor(s) Displays
LG Flatron E2040T
Screen Resolution
1600x900
Hard Drives
Western Digital 1 TB
Seagate 500 GB
PSU
Corsair VS550
Case
Cooler Master K380
Cooling
Cooler Master Seidon 120V Plus
Keyboard
Logitech MK260r
Mouse
Logitech MK260r
Internet Speed
PMPL Broadband
Antivirus
Windows Defender + MBAM
Browser
Firefox
Other Info
Dell Studio 15" Laptop
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