HCF and LCM of two numbers are 2 and 24 respectively. If one number is 6, the other number is _____?
- 16
- 12
- 8
- None of these
Explanation
Given:
HCF (Highest Common Factor) = 2
LCM (Least Common Multiple) = 24
One number = 6
We know that:
HCF × LCM = Product of the two numbers
Substitute the given values:
2 × 24 = 6 × Other number
48 = 6 × Other number
Divide by 6:
Other number = 48 ÷ 6
Other number = 8
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