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:
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 6 of 16.
Sudha patil said:
12 months ago
I'm also not getting it please anyone can explain in detail?
The main thing is why should we subtract those numbers is there any trick?
The main thing is why should we subtract those numbers is there any trick?
(13)
Nikhil said:
1 decade ago
Hey anyone here can pls expain me why we take hcf of (4665 - 1305) , (6905 - 4665) and (6905 - 1305).
Please explain if someone knows?
Please explain if someone knows?
Shrinivasmutagar said:
1 decade ago
3360 = 2*2*2*2*3*7*10.
2240 = 2*2*2*2*2*7*10.
5600 = 2*2*2*2*5*7*10.
HCF = 2*2*2*2*7*10 = 1120.
How this is done can any one explain?
2240 = 2*2*2*2*2*7*10.
5600 = 2*2*2*2*5*7*10.
HCF = 2*2*2*2*7*10 = 1120.
How this is done can any one explain?
Smilly siva said:
1 decade ago
Hey anyone here can please expain me why we take hcf of (4665 - 1305) , (6905 - 4665) and (6905 - 1305). ? please give explaination.
Samir Alvani said:
8 years ago
When you divide 1305, 4665 and 6905 by 1120 you will get the same remainder 185 so N is 1120 so the sum of the digits is 1+1+2+0=4.
Prashanthi said:
1 decade ago
1120*3=3360
1120*2=2240
1120*5=5600
the highest common factorial num is:1120 for all 3 numbers
so that here 1+1+2+0=4 we got.....
1120*2=2240
1120*5=5600
the highest common factorial num is:1120 for all 3 numbers
so that here 1+1+2+0=4 we got.....
Meher priyanka said:
8 years ago
N(q2-q1)=(4665-1305)=3360
N(q3-q2)=(6905-4665)=2240
N(q3-q1)=(6905-1305)=5600
N(q1+q2+q3)=3360+2240+5600=11200
N(1+1+2+0+0)=4.
N(q3-q2)=(6905-4665)=2240
N(q3-q1)=(6905-1305)=5600
N(q1+q2+q3)=3360+2240+5600=11200
N(1+1+2+0+0)=4.
Jack said:
5 years ago
I can't understand why we are taking H.C.F. Of (4665 - 1305), (6905 - 4665) and (6905 - 1305).
Anyone please explain in detail.
Anyone please explain in detail.
(1)
Anomi said:
4 years ago
When these numbers are divided by 5 then the remainder is zero right. Then the Answer should be 5 right. Please explain to me.
(4)
Sri said:
1 decade ago
In question itself they gave N is greatest no for that only we take hcf.
Other name of hcf is greatest common divisor (GCD).
Other name of hcf is greatest common divisor (GCD).
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