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

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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

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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
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