Find HCF of 378,180 and 420 by prime factorization method. Is HCF x LCM of three numbers equal to the product of the three numbers?
Solution:
378 = 2 x 33 x 7
180 = 22 x 32 x 5
420 = 22 x 3 x 5 x 7
∴ HCF (378, 180, 420) = 2 x 3 = 6.
No. HCF (p, q, r) x LCM (p, q, r) ≠ p x q x r. where p, q, r are positive integers.
