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Can two numbers have 16 as their HCF and 380 as their LCM? Give reason.

Posted by Lucifer ? Morningstar? 6 years, 10 months ago

CBSE > Class 10 > Mathematics

2 answers

Honey ??? 6 years, 10 months ago

No bcoz hcf should be factor of lcm

1Thank You

Anshika / U Can Call Me Alien ????? 6 years, 10 months ago

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.

2Thank You

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