Question

What must 74,63,82,005 be divided by to get 9 as the quotient and 8 as the remainder ?

Answer 1

Answer:

The number divides 399,434 and 537 leaving the remainder 8,9 and 10.

So, that number will divide (399−8),(434−9)  and (537−10) completely.

Now, the greatest number that will divide 391,425 and 527 completely, is the H.C.F. of these numbers.

391=17×23

425=5×5×17

527=17×31

H.C.F. =17