Question

find the greatest number that divides 109 and 636 leaving remainders 4 and 6 respectively

Answer 1

Answer:

Correct option is  17

Step-by-step explanation:

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) completley.

now the greates number that will divide 391,425,and 527 Completley, is the H.C.F. of these numbers.

391=17 x 23

425=5 x 5 x 17

527=17 x 31

H.C.F.= 17

hope it helps