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:
210 comments Page 5 of 21.

Dhanasekar said:   1 decade ago
Can any one explain how to identify. Whether the problem is based on HCF or least common multiple. Is there any key words?

Raje said:   1 decade ago
Simply way is divide 43, 81 and 183 by 4 we get the same remainder 3 for all.

Lakshmisha said:   1 decade ago
@Prashant, thanks for explanation

Pooja Madrewar said:   1 decade ago
Explain the logic of this solution

Rajendra said:   1 decade ago
Thanks prashant your explaination is really good...

Anand said:   1 decade ago
No need to difference between them.

Simply take one by one option and divide given number in question (43, 91 and 183) and equate remainder.

No need to difference between them. Okay friends. So simple !

Manindra said:   1 decade ago
We take difference as it is very simple for calculation.

Hemalatha said:   1 decade ago
I'm not clear with any one of the above explanation, why we take the difference of those numbers.

Lakshmi said:   1 decade ago
I am not clear please explain the above explanation

RAVI VARMA 501 said:   1 decade ago
Swetha and prashanth explanation is good. And abve some are all in kids formulas. . . So dont look others friends.


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