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 13 of 21.

Hema said:   1 decade ago
Why we have to take the difference of the numbers can you please explain?

Bisht Ashish said:   9 years ago
@Prashant.

In your explanation, 'p' must be a Divisor, not the Dividend.

Brianna said:   9 years ago
I don't understand I'm only eleven, please someone help me to get this.

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

Umar said:   10 years ago
How to solve the same question if remainder is not same in each case?

STUTI said:   8 years ago
I understood the sum now.

Given explanations was good. Thankyou all.

Rony said:   1 decade ago
HCF of two numbers is 12, their sum is 72, then the two numbers are?

Abhishek Ray said:   1 decade ago
Kindly revert back with logically, how this problem was processed?

Sruthi said:   1 decade ago
Why we have to take the difference of the numbers please explain?

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

Please explain me.


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