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

1.	Can two numbers have 18 as their HCF and 380 their LCM ? Give reason
Answer» We know that HCF of two numbers is a divisor of their LCM. Here, 18 is not a divisor of 380.But 380 = 18×21+2Here 2 is remainder so 380 is not divisible by 18.So, 18 and 380 cannot be respectively HCF and LCM of two numbers.

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