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

Posted by Shivani Yadav 6 years, 11 months ago

CBSE > Class 10 > Mathematics

2 answers

Yogita Ingle 6 years, 11 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.
Hence, we cannot have two numbers whose HCF is 16 and LCM is 380.

2Thank You

Anshika & Aliens???? 6 years, 11 months ago

HCF of two numbers should be the factor of LCM of those numbers. But, 16 is not a Factor of 380. Hence, two numbers can not have their HCF and LCM as 16 and 380

2Thank You

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