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Can two numbers have 16 as their HCF and 380 as their LCM ? Give reason |
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Answer» \xa0HCF 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. 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 |
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