Find the greatest number which will divide 39 | vedclass

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

Question

(C) To find the greatest number that divides $3962, 4085,$ and $4167$ leaving the same remainder,we calculate the differences between the numbers:$408

Vedclass · Accepted Answer

$41$

Vedclass · Answer

(C) To find the greatest number that divides $3962, 4085,$ and $4167$ leaving the same remainder,we calculate the differences between the numbers:$4085 - 3962 = 123$$4167 - 4085 = 82$$4167 - 3962 = 205$Now,we find the $H.C.F.$ of these differences: $123, 82,$ and $205$.$123 = 41 	imes 3$$82 = 41 	imes 2$$205 = 41 	imes 5$The $H.C.F.$ is $41$.Therefore,the greatest number is $41$.

Find the greatest number which will divide $3962, 4085$ and $4167$ leaving the same remainder in each case.

Similar Questions

$L.C.M.$ and $H.C.F.$ of two numbers $x$ and $y$ are $315$ and $3,$ respectively. If $x+y=36,$ the value of $\frac{1}{x}+\frac{1}{y}$ is

Find the greatest number that will divide $964, 1238$ and $1400$ leaving remainders $41, 31$ and $51$ respectively.

What is the $L.C.M.$ of $25, 30, 35$ and $40$?

The $HCF$ of two numbers is $8$. Which one of the following can never be their $LCM$?

Find the least number of five digits which when divided by $12, 16, 21, 36$ and $40$ leaves a remainder of $8$ in each case.

Vedclass Test Series

Exam Paper Generator

Online Exam Module