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The HCF of 450, 1500 and 1650 is :
Question

The HCF of 450, 1500 and 1650 is :

A.

50

B.

200

C.

100

D.

150

Correct option is D

Solution:

Prime factorization of 450:  2 × 32×52.3^2 × 5^2.​​
Prime factorization of 1500:  22×3×53.2^2 × 3 × 5^3.​​
Prime factorization of 1650: 2×3×52×11.2 × 3 × 5^2 × 11.​​
HCF of 450, 1500, 1650 =  2×3×52=1502\times 3 \times 5^2 = 150​​

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