Question

For each of the following pairs of numbers, show that the product of their HCF and LCM equals their product.
(1) 14, 21
(ii) 117, 221
(iii) 186, 403 ​

Answer 1

1) HCF

2 14

7 7

1

HCF of 14 = 2 × 7

3 21

7 7

1

HCF of 21 = 3×7

HCF of 14 and 21 is 7.

LCM

2 14,21

7 7,21

3 1,3

1,1

LCM of 14 and 21 = 2×7×3

=. 42

2) HCF of 117 and 221 is 1

LCM of 117 and 221 is 198

3) HCF of 186 and 403 is 31