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. 4)
4.
Let N be the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case. Then sum of the digits in N is:
4
5
6
8
Answer: Option
Explanation:

N = H.C.F. of (4665 - 1305), (6905 - 4665) and (6905 - 1305)

  = H.C.F. of 3360, 2240 and 5600 = 1120.

Sum of digits in N = ( 1 + 1 + 2 + 0 ) = 4

Discussion:
158 comments Page 13 of 16.

Debita said:   9 years ago
@Srinivas.

Thanks, this is the perfect explanation like a true mathematician.

Bunny said:   9 years ago
Why should we subtract before finding out the HCF? can anybody tell me?

Shreya said:   9 years ago
Thank you @Harish.

Tushar said:   9 years ago
@All.

Whenever we see highest, greatest, largest, etc -> this kind words in question, then take HCF.

And whenever we see smallest, lowest, etc -> this kind of words in question, then take LCM.

Mounika said:   9 years ago
Thank you all for explaining it.

Mounika said:   9 years ago
Thanks for Excellent explanation @Suraj.

Supriya said:   9 years ago
Thanks @Priya.

Hanumant said:   9 years ago
Thank you all for explaining it.

Shirish said:   9 years ago
Thanks to all for the correct explanation.

Diya said:   8 years ago
Thanks @Prakash.


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