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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