Find the H.C.F and L.C.M of 30, 72, 432 by using prime factorization method.

H.C.F of 30, 72 and 432 by using prime factorization method is

Prime factors of 30 = 2 × 3 × 5

Prime factors of 72 = 2 × 2 × 2 × 3 × 3

Prime factors of 432 = 2 × 2 × 2 × 2 × 3 × 3 × 3

The H.C.F of 30, 72 and 432 is the product of all common prime factors using the least power of each common prime factor.

⇒ Common Prime Factor = 2 × 3 = 6

L.C.M of 30, 72 and 432 is the product of all common prime factors using the highest power of each common prime factor.

⇒ 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 = 2160

H.C.F is 6

And L.C.M is 2160