If the door didn't begin scraping immediately after the tiles were installed.
1. I look at the reveal when closed if the hinges are at fault then the reveal will be off, e.g., (tight top striker side tight bottom hinge side).
2. I check the jambs for plumb, level and square if they're out the house has likely done some settling.
3. If 1 and 2 are good it is possible the floor has heaved up, does it squeak when walked over or weight applied, e.g., (shifting weight back and forth between spread feet)? If so you may be able to pull the subfloor back down and fasten it to the joists from below.
4. Lastly where does the bottom of the door chafe the floor? If only one or 2 small spots, take the minimalist approach and only remove material at the chafing spots.
Work smart not hard!
Never bite the hand that looks dirty