The safest and simple way to clean are -
1 - First, make sure your computer is completely turned off, unplug the power cables so you won't have any surprises.
2 - Remove your GPU card, it should have two or one screw(s) holding your video card to the slot, unscrew them and gently remove it from the PCI socket.
3 - With a clean brush the same one used for paintings, you gently clean all the dust from your video cards plate, circuits and GPU fans. I don't think you need to disassembly the card for the time being because it's risky if you don't know how to do it.
4 - After cleaning it, put the GPU back in the same way it was before you removed.
As for RAM, it's pretty much the same steps but you don't have the screwing part..
1 - Just pull down those memory stick locks / toggles you have on your motherboard which are only two per memory slot located on both left and right side of the stick, they hold your RAM sticks, as soon as you pull them down your memory stick will automatically release itself from the slot.
2 - Then you grab those sticks without touching the contact parts, I'm pretty sure your memory has a plate covering it's circuits, grab by the plate then clean it with either an eraser or only the clean painting brush.
(Heres a video on how to with an eraser ) -
https://www.youtube.com/watch?v=0imuy9TZSkM&t (I tried that myself and it worked for me once).
3 - Remove all the dust from both RAM sticks and the memory slots from your motherboard.
4 - Put them back and pull those memory locks / toggles back to where they were seated at first.
Here are some good tutorials on how to do it -
For RAM -
http://www.pcworld.com/article/2957195/components/how-to-install-new-memory-in-your-pc.html
For Cleaning - https://www.howtogeek.com/72716/how-to-thoroughly-clean-your-dirty-desktop-computer/
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Regarding your question yes, if you could switch to your Integrated Graphics Card instead of your Radeon to do some testing it would be great, if there are no crazy pink glitches happening then you would know it could be your video card. You previously said that happens in "every" game right? So try using the Integrated Graphics Card for some less demanding games if you have any that were also having these crazy glitches then check if anything wrong happens with it, assuming that you followed all the DDU utility steps correctly. Hope that helps.