Find the greatest number which,on dividing 16 | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(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

$127$

Vedclass · Answer

(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.

Similar Questions

The $H.C.F.$ of two numbers is $11$ and their $L.C.M.$ is $693$. If one of the numbers is $77$,find the other.

What is the smallest number which when increased by $3$ is divisible by $16, 24, 30$ and $32$?

What is the smallest number by which $625$ must be divided so that the quotient is a perfect cube?

Find the least number of five digits which when divided by $63, 56$ and $42$ leaves remainder $1$ in each case.

What is the least number which,when divided by $5, 6, 7, 8$ gives the remainder $3$ but is divisible by $9$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module