Question

Find the greatest number which divides 68 and 116 to give 4 as remainder in each case

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