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.
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:
213 comments Page 9 of 22.
Hemalatha said:
1 decade ago
I'm not clear with any one of the above explanation, why we take the difference of those numbers.
Lakshmi said:
1 decade ago
I am not clear please explain the above explanation
RAVI VARMA 501 said:
1 decade ago
Swetha and prashanth explanation is good. And abve some are all in kids formulas. . . So dont look others friends.
Surbhi swaraj said:
1 decade ago
Is there any trick to solve this problem?
Heena said:
1 decade ago
Here take the difference between the numbers then start dividing.
48/2, 92/2, 140/2
Then
48/2=2*2*2*2*3
92/2=2*2*23
140/2=2*2*35
So HCF is [nothing but the highest common factor].
So HCFis 2*2=4.
48/2, 92/2, 140/2
Then
48/2=2*2*2*2*3
92/2=2*2*23
140/2=2*2*35
So HCF is [nothing but the highest common factor].
So HCFis 2*2=4.
Lovely said:
1 decade ago
Hey prashant your explanation is too good. Thanks.
Is there more short method to do solve this.
Is there more short method to do solve this.
Aadhilakshmi said:
1 decade ago
Thanks for the clear explanation prasanth.
Parthiban said:
1 decade ago
It is very simple
consider
43,91,183 are the 3 numbers
first ,
find the diff between them
91-43=48;
183-91=92;
183-43=140;
let divide the 48,92,140,by 2
we have
48=2*2*2*2*3
92=2*2*23
140=2*2*149
here common factor is 2*2
so
answer is 4
consider
43,91,183 are the 3 numbers
first ,
find the diff between them
91-43=48;
183-91=92;
183-43=140;
let divide the 48,92,140,by 2
we have
48=2*2*2*2*3
92=2*2*23
140=2*2*149
here common factor is 2*2
so
answer is 4
Mayank said:
1 decade ago
4*22-gives rem 3.
4*10-gives rem3.
4*45-also gives rem 3.
All three numbers have equal rem 3 satisfies condition given in number. Hence ans is 4.
4*10-gives rem3.
4*45-also gives rem 3.
All three numbers have equal rem 3 satisfies condition given in number. Hence ans is 4.
Cathy said:
1 decade ago
How do you know we are to find the h.C.F ?
I seem to be getting so confused.
I seem to be getting so confused.
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