Question

find the greatest number that divides each of 180, 216 and 315 completely

Answer 1

Solution:-

To find the greatest number that divides each of 180, 216 and 315 completely, we have to find the H.C.F. of 180, 216 and 315.
Prime factorization of 180 = 2*2*3*3**5
Prime factorization of 216 = 2*2*2*3*3*3
Prime factorization of 315 = 3*3*5*7
Common factors of 180, 216 and 315 = 3*3
H.C.F. = 9
So, 9 is the greatest number that divides each of 180, 216 and 315 completely.
Answer.