The HCF of two numbers is 23 and the other tw | vedclass

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(C) Let the two numbers be $a$ and $b$.Given that the $HCF$ of the two numbers is $23$.Any two numbers can be expressed as $a = HCF 	imes x$ and $b =

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$322$

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(C) Let the two numbers be $a$ and $b$.Given that the $HCF$ of the two numbers is $23$.Any two numbers can be expressed as $a = HCF 	imes x$ and $b = HCF 	imes y$,where $x$ and $y$ are coprime factors.The $LCM$ of these two numbers is given by $LCM = HCF 	imes x 	imes y$.We are given that the other two factors of the $LCM$ are $13$ and $14$,so $x = 13$ and $y = 14$.The two numbers are:$a = 23 	imes 13 = 299$$b = 23 	imes 14 = 322$Comparing the two numbers,the larger number is $322$.

The $HCF$ of two numbers is $23$ and the other two factors of their $LCM$ are $13$ and $14.$ Then the larger of the two numbers is

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