3 positive integers are written on a board:
x y z
Person A calculated that the HCF of 2 of the integers and got 1 000 004
Person B did the same and got 1 000 006
Person C did the same and got 1 000 008.
Person D is sure that at least person A, B or C made a mistake, despite the fact they calculated the HCF of different numbers.
Is she right?
Please explain the answer.