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 11 of 16.

Nandhini said:   1 decade ago
Please can you explain how to calculate HCF and explain?

Dilz said:   8 years ago
Subtraction of these numbers cancels remainder but how?

Disha Mukherjee said:   4 months ago
I can't understand. Why should we subtract the numbers?
(15)

Rekha kharode said:   10 years ago
Please explain if someone knows why select only HCF?

Harini said:   6 years ago
@Anchit.

We should subtract remainder. i.e 12-2=10.

Elissa said:   4 years ago
I understood well, thanks to all for explaining.
(1)

Komal said:   3 years ago
Thank you for explaining the answer @Greeshma.
(2)

Agondeze milly said:   2 years ago
How do you get 4? I am not getting it clearly.
(13)

SWARNA said:   1 decade ago
How we know by seeing the numbers the H.C.F ?

Pallavi said:   1 decade ago
Please can you explain how to calculate HCF ?


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