Hello everyone! I've been having same issue of black borders in games(e.g. saints row 3 and saints row 4), but I've found my solution to be downloading drivers from manufacturers site.(native screen resolution 1080p)
I'm using ASUS N550JK with
Windows 8.1,
Intel Core i7-4710HQ with integrated graphics and
NVidia GEFORCE GTX 850M.
So I went to ASUS support site and searched for my laptop, there i just chose latest driver for Intel in VAC category, installed it and, voila - issues solved.
So to summarise everything, it seems that problem actually WAS in drivers. And if solution is needed - manufacturers support website is place to go.
I want to thank intel support staff on this website for doing great job(to be honest I can't remember the one who suggested going to manufacturers site), and I hope this will solve this problem for others too.