Question

find the hcf and lcm of 81 and 82 and verify the product of numbers= hcf×lcm

Answer 1

The HCF of 81 and 82 = 1 and the LCM of 81 and 82 = 6642.

The product of numbers= HCF × LCM, verified.

Step-by-step explanation:

We have,

81 and 82

To find, the HCF and LCM of 81 and 82 = ?

Verify the product of numbers= HCF × LCM

∴ 81

= 3 × 3 × 3 × 3 × 1  and

82 = 2 × 41 × 1

There is no common factor of 81 and 82.

The HCF of 81 and 82 = 1 and

The LCM of 81 and 82 = 81 × 82 = 6642

We know that,

The product of numbers = HCF × LCM

⇒ 81 × 82 = 1 × 6642

⇒ 6642 = 6642, verified,

Thus, the HCF of 81 and 82 = 1 and the LCM of 81 and 82 = 6642.

The product of numbers= HCF × LCM, verified.