Find the greatest number which,on dividing 16 | vedclass

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(B) To find the greatest number that divides $1657$ and $2037$ leaving remainders $6$ and $5$ respectively,we need to find the $HCF$ of $(1657 - 6)$ a

Vedclass · Accepted Answer

$127$

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(B) To find the greatest number that divides $1657$ and $2037$ leaving remainders $6$ and $5$ respectively,we need to find the $HCF$ of $(1657 - 6)$ and $(2037 - 5)$.Step $1$: Subtract the remainders from the numbers.$1657 - 6 = 1651$$2037 - 5 = 2032$Step $2$: Find the $HCF$ of $1651$ and $2032$ using the division method.$2032 = 1651 	imes 1 + 381$$1651 = 381 	imes 4 + 127$$381 = 127 	imes 3 + 0$Since the remainder is $0$,the $HCF$ is $127$.Therefore,the greatest number is $127$.

Find the greatest number which,on dividing $1657$ and $2037$,leaves remainders $6$ and $5$ respectively.

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