Question for Cooler

Dec 22, 2017
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my specs:

Motherboard M5A78L-M PLUS
AMD FX 6300
8GB RAM DDR3 1866 Mhz (2x4)
Radeon HD 6450

my question is that if it is necessary to put cooler to my processor since my graphic card is a bit old, so its necessary to put a cooler on it?