I suggest you to try using the latest generic driver posted here:
In addition update your system BIOS and load the driver for the monitor that you have connected. Then check on the Intel(R) Graphics and Media control panel, check on Display> General settings and change the scaling mode to whichever of the options available and see if that makes a difference.
Furthermore, check on the monitor itself and its manufacturer to see if there is any internal menu that may be causing this and/or test using another TV display to test this.
I know this is an old subject, but I struggled with the same problem today...
The black borders in HDMI are not an error, or a bug. Those are called "overscan", it is a feature, and you have to turn it off. How that is done depends on your graphic driver. Google with "overscan" and your graphics adapter name.
Here is one set of instructions: GIGABYTE - Service (In that driver the property is called "Custom aspect ratio"...)