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:
212 comments Page 20 of 22.

Prathyusha said:   1 decade ago
SMART WAY OF SOLVING BY @SHWETHA

JAYALALITHA said:   1 decade ago
WHY WE HAVE TO TAKE DIFFERENCE OF THOSE TWO NUMBERS

Habib said:   1 decade ago
The difference is taken to analyze the pattern. Amongst the numbers !

Ie each difference tells us that these numbers are multiples of 4 and have the same remainder because all numbers can be divided by 4.

Hence you get 4.

Komal said:   1 decade ago
The difference is used to get the common factors between two nos. it will eliminate the uncommon factors.

And at-last we have only to pick up the highest common factor...
you can try with an example for 30 and 10.

factors of (30) = 5,2,3
factors of (10) = 5,2
factors of (30-10) = 5,2

Sweety said:   1 decade ago
I don't understand why we need to find the difference. Please explain the logic behind it.

Titus said:   1 decade ago
That is true. Understanding is more important.

Durga said:   1 decade ago
Getting answer is not important but knowing how to approach that answer is important. Thanks for Prashant.

Pankaj maharaj said:   1 decade ago
Yesss! you sud simply divide and find the ans in quicker way.

Navneet said:   1 decade ago
Divide each with each option.

Hind said:   1 decade ago
I go with same method as shweta and dhanasekar has said in the forum.


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