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Find the Highest Common Factor (HCF) of 372, 732 and 2196.
Question

Find the Highest Common Factor (HCF) of 372, 732 and 2196.

A.

1

B.

58

C.

12

D.

30

Correct option is C

Given
Find the Highest Common Factor (HCF) of 372, 732 and 2196
Solution
372
372 = 2 × 2 × 3 × 31
= 2² × 3 × 31
732
732 = 2 × 2 × 3 × 61
= 2² × 3 × 61
2196
2196 = 2 × 2 × 3 × 3 × 61
= 2² × 3² × 61
Common Prime Factors
Common in all three numbers:
2² and 3
Multiply Common Factors
HCF = 2² × 3
= 4 × 3
= 12
The correct option is (C) 12

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