Q8 of 39 Page 4

Can two numbers have 18 as their HCF and 380 as their LCM? Give reasons.

HCF stands for Highest Common Factor while LCM stands for Least Common Multiple.


⇒ HCF of two numbers must be a factor of LCM of those numbers


According to the question, HCF = 18 and LCM = 380


But 380 is not divisible by 18. So, two numbers cannot have 18 and 380 as their HCF and LCM respectively.


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