What is the greatest number which divides 852 | vedclass

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(D) To find the greatest number that divides $852, 1065,$ and $1491$ exactly,we need to find the Highest Common Factor $(H.C.F.)$ of these three numbe

Vedclass · Accepted Answer

$213$

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(D) To find the greatest number that divides $852, 1065,$ and $1491$ exactly,we need to find the Highest Common Factor $(H.C.F.)$ of these three numbers.Step $1$: Find the $H.C.F.$ of $852$ and $1065$ using the division method.$1065 = 852 	imes 1 + 213$$852 = 213 	imes 4 + 0$So,the $H.C.F.$ of $852$ and $1065$ is $213$.Step $2$: Find the $H.C.F.$ of the result $(213)$ and the third number $(1491)$.$1491 = 213 	imes 7 + 0$Since $1491$ is perfectly divisible by $213$,the $H.C.F.$ of all three numbers is $213$.

What is the greatest number which divides $852, 1065$ and $1491$ exactly?

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