Find the HCF and LCM of the integers 8,9,and | vedclass

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Question

(A) To find the $HCF$ and $LCM$ of $8$,$9$,and $25$ using the prime factorization method:Step $1$: Find the prime factors of each number.$8 = 2 	imes

Vedclass · Accepted Answer

$HCF$ = $1$,$LCM$ = $1800$

Vedclass · Answer

(A) To find the $HCF$ and $LCM$ of $8$,$9$,and $25$ using the prime factorization method:Step $1$: Find the prime factors of each number.$8 = 2 	imes 2 	imes 2 = 2^3$$9 = 3 	imes 3 = 3^2$$25 = 5 	imes 5 = 5^2$Step $2$: The $HCF$ is the product of the smallest power of each common prime factor. Since there are no common prime factors other than $1$,the $HCF$ is $1$.Step $3$: The $LCM$ is the product of the greatest power of each prime factor involved in the numbers.$LCM = 2^3 	imes 3^2 	imes 5^2 = 8 	imes 9 	imes 25 = 72 	imes 25 = 1800$.Thus,$HCF$ = $1$ and $LCM$ = $1800$.

Find the $HCF$ and $LCM$ of the integers $8$,$9$,and $25$ by the prime factorization method.

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