Question

find HCF and LCM of 117 and 65 and verify that HCF × LCM = 1st number × 2nd number​

Answer 1

Step-by-step explanation:

By Euclid's Division Algorithm

we have

117 = 1×65 + 52

65 = 1× 52 + 13

52 = 4 ×13 + 0

therefore HCF of 65 and 117 is 13.

Now, 65 = 5 × 13

117 = 13 × 3 × 3

LCM of 65 and 117 = 5 × 13 × 3 × 3 = 585

therefore, 65*117=7605

13*585=7605

Hence verified