Question

# Can two numbers have 16 as their HCF and 380 LCM ? Give reasons

Solution

## HCF of two numbers is a factor of the LCM of those numbers. Thus, we cannot have two numbers whose HCF is 16 and LCM is 380. Because, when we divide 380 by 16, we get a remainder of 12. Thus, 16 is not a factor of 380. Hence, we cannot have two numbers whose HCF is 16 and LCM is 380. HOPE IT HELPS!!

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