At 1440p i'm using around 6.2GB, at 1080p i would imagine around 3.5-4GB.
You dont have to imagine anymore. I am telling you that even the 6GB vram on my 980Ti wasn't enough to max out graphical settings on the CODMW remastered. The maximum settings demanded at least 8GB vram. >>>>> This is on my 1080p monitor.