If a= a = (2^2 × 3^3 × 5^4 ) and b = (2^3 × 3^2 × 5), then HCF (a, b) = ? (a) 90 (b) 180 (c) 360

Question 1

If a= a = (22 × 33 × 54 ) and b = (23 × 32 × 5), then HCF (a, b) = ?

(a) 90 (b) 180 (c) 360

Question 2

(b) 180

It is given that:

a = (22 × 33 × 54 ) and b = (23 × 32 × 5)

∴HCF (a,b) = Product of smallest power of each common prime factor in the numbers.

= 22 × 32 × 5

= 180

kratos · Answer 1 · 2021-03-23T07:41:25+0000

(b) 180

It is given that:

a = (22 × 33 × 54 ) and b = (23 × 32 × 5)

∴HCF (a,b) = Product of smallest power of each common prime factor in the numbers.

= 22 × 32 × 5

= 180

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