If a - 22-33-54-and-23-32-5 then HCFa- b - - a 90 b 180 c 360 d 540

Answer : (b) 180 It is given that: a = 2^2 × 3^3 × 5^4 and b = 2^3 × 3^2 × 5 ∴ HCF (a, b) = Product of smallest power of each common prime factor in the numbers ...

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Standard X

Mathematics

Method of Finding HCF

If a = 22×33×...

Question

If a = $(2^{2} \times 3^{3} \times 5^{4}) a n d (2^{3} \times 3^{2} \times 5)$ then HCF(a, b) = ?

(a) 90 (b) 180 (c) 360 (d) 540

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Solution

Answer : (b) 180
It is given that:
a = $2^{2} \times 3^{3} \times 5^{4}$ and b = $2^{3} \times 3^{2} \times 5$
∴ HCF (a, b) = Product of smallest power of each common prime factor in the numbers
= $2^{2} \times 3^{2} \times 5$
= 180

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Similar questions

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

(a) 90
(b) 180
(c) 360
(d) 540

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If a = (22×33×54) and (23×32×5) then HCF(a, b) = ? (a) 90 (b) 180 (c) 360 (d) 540

Answer : (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

If a = $(2^{2} \times 3^{3} \times 5^{4}) a n d (2^{3} \times 3^{2} \times 5)$ then HCF(a, b) = ?

(a) 90 (b) 180 (c) 360 (d) 540

Answer : (b) 180
It is given that:
a = $2^{2} \times 3^{3} \times 5^{4}$ and b = $2^{3} \times 3^{2} \times 5$
∴ HCF (a, b) = Product of smallest power of each common prime factor in the numbers
= $2^{2} \times 3^{2} \times 5$
= 180