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Q.

Choose the correct option to fill in the blank:

HCF of 441 and 567 is _____.

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a

42

b

63

c

21

d

7

answer is A.

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Detailed Solution

HCF of two or more numbers will be the product of common prime factors with the lowest exponential power.

Let us reduce 441 and 567 to its prime factors:

441 = 3 x 3 x 7 x 7

567 = 3 x 3 x 3 x 3 x 7

Therefore, the HCF of (441, 567) = 3 x 3 x 7 = 63

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