Find the H.C.F of the following numbers: (a) 18, 48 (b) 30, 42 (c) 18, 60 (d) 27, 63 (e) 36, 84 (f) 34, 102 (g) 70, 105, 175 (h) 91, 112, 49 (i) 18, 54, 81 (j) 12, 45, 75

HCF is the greatest number that exactly divides two or more given numbers. First,  we find the prime factorization of each number and find the common prime factors of those numbers. Then, we find the HCF of those numbers by finding the product of the prime factors that are common to each of the given numbers.

Answer :

a) H.C.F of 18 and 48 is 6.

b) H.C.F of 30 and 42 is 6.

c) H.C.F of 18 and 60 is 6.

d) H.C.F of 27 and 63 is 9.

e) H.C.F of 36 and 84 is 12.

f) H.C.F of 34 and 102 is 34.

g) H.C.F of 70, 105 and 175 is 35.

h) H.C.F of 91, 112 and 49 is 7.

i) H.C.F of 18, 54 and 81 is 9.

j) H.C.F of 12, 45 and 75 is 3.