If you are using Git GUI, first fetch then merge.
Fetch via Remote menu >> Fetch >> Origin. Merge via Merge menu >> Merge Local.
The following dialog appears.
Select the tracking branch radio button (also by default selected), leave the yellow box empty and press merge and this should update the files.
I had already reverted some local changes before doing these steps since I wanted to discard those anyways so I don't have to eliminate via merge later.