Can two numbers have $18$ as their $HCF$ and $380$ as their $LCM$? Give reasons.
(B) No,two numbers cannot have $18$ as their $HCF$ and $380$ as their $LCM$.
This is because the $HCF$ of any two numbers must always be a factor of their $LCM$.
In this case,we check if $380$ is divisible by $18$:
$380 / 18 = 21.11...$
Since $18$ is not a factor of $380$,such numbers cannot exist.
This is because the $HCF$ of any two numbers must always be a factor of their $LCM$.
In this case,we check if $380$ is divisible by $18$:
$380 / 18 = 21.11...$
Since $18$ is not a factor of $380$,such numbers cannot exist.
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