Question

What is the HCF of 12, 24, 36,48​

Answer 1

Answer:

HCF of 12, 24, 36,48​

Step-by-step explanation:

Prime factorization of 12, 36 and 48 is given as,

12 = 2 × 2 × 3

36 = 2 × 2 × 3 × 3

48 = 2 × 2 × 2 × 2 × 3

LCM(12, 36) = 36, LCM(36, 48) = 144, LCM(48, 12) = 48, LCM(12, 36, 48) = 144

⇒ HCF(12, 36, 48) = [(12 × 36 × 48) × LCM(12, 36, 48)]/[LCM(12, 36) × LCM (36, 48) × LCM(48, 12)]

⇒ HCF(12, 36, 48) = (20736 × 144)/(36 × 144 × 48)

⇒ HCF(12, 36, 48) = 12.

Therefore, the HCF of 12, 36 and 48 is 12.