Find the HCF and LCM of the following integer | vedclass

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Question

(A) The prime factorization of the given numbers is as follows:$17 = 17 	imes 1$$23 = 23 	imes 1$$29 = 29 	imes 1$Since $17, 23,$ and $29$ are all

Vedclass · Accepted Answer

$HCF$ = $1$,$LCM$ = $11339$

Vedclass · Answer

(A) The prime factorization of the given numbers is as follows:$17 = 17 	imes 1$$23 = 23 	imes 1$$29 = 29 	imes 1$Since $17, 23,$ and $29$ are all prime numbers,they have no common factor other than $1$.Therefore,the Highest Common Factor $(HCF)$ is $1$.The Least Common Multiple $(LCM)$ is the product of the highest powers of all prime factors involved:$LCM = 17 	imes 23 	imes 29 = 11339$.Thus,$HCF$ = $1$ and $LCM$ = $11339$.

Find the $HCF$ and $LCM$ of the following integers by the prime factorization method: $17, 23$ and $29$.

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