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. 26)
26.
The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively, is:
123
127
235
305
Answer: Option
Explanation:

Required number = H.C.F. of (1657 - 6) and (2037 - 5)

  = H.C.F. of 1651 and 2032 = 127.

Discussion:
38 comments Page 2 of 4.

Janaiah said:   8 years ago
Thanks @Krishna.

Nidhi said:   8 years ago
Please explain the solution of this question.

Jenifer said:   8 years ago
Why should we find HCF? Why not LCM?

Sayeeda said:   8 years ago
Thank you @Deepak.

K sreenivasulu said:   9 years ago
Thank you @M. V. Krishna.

Rajan gupta said:   9 years ago
Please explain the method to calculate the HCF with an example.

Albert said:   9 years ago
Please explain the calculation of H.C.F in detail.

Shivam said:   9 years ago
If we divide 7 by 2 it gives a remainder of 1.

Either we add or subtract the remainder 1 from 7 the numbers obtained 8 and 6 which is divisible by 2.

How the answer come in this problem, that we have to add or subtract?

Prabhakaran said:   1 decade ago
@Thayagarajan. How we know 127 is the correct answer?, that's we need tell clearly.

Thyagarajan said:   1 decade ago
Answer:

13*127 = 1651+6 = 1657.
16*127 = 2032+5 = 2037.


Post your comments here:

Your comments will be displayed after verification.