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in Number System by (49.8k points)
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Can two numbers have 18 as their HCF and 380 as their LCM? Give reasons.

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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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