Aptitude - Problems on H.C.F and L.C.M - Discussion

Discussion Forum : Problems on H.C.F and L.C.M - General Questions (Q.No. 1)
1.
Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.
4
7
9
13
Answer: Option
Explanation:

Required number = H.C.F. of (91 - 43), (183 - 91) and (183 - 43)

     = H.C.F. of 48, 92 and 140 = 4.

Discussion:
216 comments Page 22 of 22.

Arya said:   2 decades ago
If three nos as in this case is 43, 91 and 183 are given then to find HCF the shortest solution is take the diff:

1) 91 - 43 = 48 (4*3*7)
2) 183 - 91 = 92 (4*23)
3) 183 - 43 = 140 (4*7*5)

Thus the HCF is 4.

Anirudh rai said:   2 decades ago
Is this the only way to this type of problem?

If yes then would you please explain it.

Raj said:   2 decades ago
Why do we do the difference of number to each other?
(1)

Sourabh Das said:   2 decades ago
I also want an explanation about the logic of the solution.

Anu said:   2 decades ago
Explain the logic of this solution.

Nagu said:   2 decades ago
Why they took difference between those nos.

Please explain me.


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