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

Is it possible to divide $1,000$ into two parts such that their $HCF$ is $15$?

Let $N$ be the greatest number that will divide $1305, 4665,$ and $6905,$ leaving the same remainder in each case. Then the sum of the digits in $N$ is:

The $LCM$ of two numbers is $495$ and their $HCF$ is $5.$ If the sum of the numbers is $100,$ then their difference is

In a school,$391$ boys and $323$ girls have been divided into the largest possible equal classes,so that each class of boys numbers the same as each class of girls. What is the number of classes?

The $LCM$ of $22, 54, 108, 135$ and $198$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module