TheMaster262014 :
I don't wanna do any overclocking, just pure gaming. Will it be fine?
It should be, but I'd still recommend getting a 500w or even 400w power supply. Using close to full load is ok but it may become a problem in the future.
UPDATE: It should be fine running normally, yes, but keep in mind that your computer has other components that require power draw and 370w may not be enough. If you are talking about GPU alone, there should be no problem.