Find the greatest number that will divide 43, | vedclass

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

Question

(A) To find the greatest number that divides $43, 91,$ and $183$ leaving the same remainder,we calculate the differences between the numbers:$91 - 43

Vedclass · Accepted Answer

$4$

Vedclass · Answer

(A) To find the greatest number that divides $43, 91,$ and $183$ leaving the same remainder,we calculate the differences between the numbers:$91 - 43 = 48$$183 - 91 = 92$$183 - 43 = 140$Now,we find the $HCF$ of these differences: $48, 92,$ and $140$.Prime factorization of $48 = 2^4 	imes 3$Prime factorization of $92 = 2^2 	imes 23$Prime factorization of $140 = 2^2 	imes 5 	imes 7$The common factor with the lowest power is $2^2 = 4$.Therefore,the greatest number is $4$.

Find the greatest number that will divide $43, 91$ and $183$ so as to leave the same remainder in each case.

Similar Questions

The traffic lights at three different road crossings change after $24$ seconds,$36$ seconds,and $54$ seconds,respectively. If they all change simultaneously at $10:15:00$ am,then at what time will they again change simultaneously?

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

The $HCF$ and $LCM$ of two numbers are $11$ and $385$ respectively. If one number lies between $75$ and $125,$ then that number is

Find the largest number of four digits exactly divisible by $14, 24, 27$ and $32$.

The greatest possible length which can be used to measure exactly the lengths $7 \ m$,$3 \ m \ 85 \ cm$,and $12 \ m \ 95 \ cm$ is .......... $cm$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module