Question

can two numbers have 18 as their HCF and 380 as their LCM. Give reasons.
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Answer 1

Answer:

No, two numbers can't have 18 as their HCF and 380 as LCM because HCF of the numbers must be a factor of the LCM. Since 18 is not a factor of 380, it is not possible.

Step-by-step explanation:

Since HCF is 18 numbers can be assumed as 18x and 18y.

Since HCF is 18 numbers can be assumed as 18x and 18y.⇒380=2×5×2×19

Since HCF is 18 numbers can be assumed as 18x and 18y.⇒380=2×5×2×19⇒380 is not divisible by 18 itself hence HCF 18 and LCM as 380 is not possible.

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