top button
Flag Notify
    Connect to us
      Facebook Login
      Site Registration

Facebook Login
Site Registration

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

0 votes
273 views
Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.
posted Dec 10, 2015 by Prithvi

Share this puzzle
Facebook Share Button Twitter Share Button LinkedIn Share Button

2 Answers

0 votes

The answer is 4

Lets put them into equations
43 = D*q1 + r1;
91 = D*q2 + r2;
183 = D*q3 + r3;

and r1=r2=r3=r

so.
D*(q2-q1)= 48
D*(q3-q2)= 92
D*(q3-q1)= 140

For the greatest value of D take the HCF of 48, 92 and 140 which is 4.

answer Sep 10, 2017 by Salil Agrawal
–1 vote

1
the remainder in each case is 0!

answer Dec 10, 2015 by anonymous
...