Will you play GOW 3 without playing previous ones in the franchise?

[SMT]

I have played the PS2 versions of the both games, but I'm buying the Ultimate Trilogy Edition and I will play the remastered versions before I start GOWIII. I just have to figure out HOW I'm going to play FFXIII, Yakuza 3 and Shin Megami Tensei: Strange Journey at the same time.