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:
216 comments Page 14 of 22.
Prem said:
1 decade ago
I am unable to understand this problem. Can anyone explain all steps involved?
Kumari said:
1 decade ago
Dear friends, Why they took difference between them and is any other easy as well as short method ? please communicate this answer as soon as possible. Thanking you.
Sarath said:
1 decade ago
I think the smarter way will be to divide the numbers with options and check. But your speed has to be so high.
Tahir said:
1 decade ago
Just simple according to the question there is no compilation is 43/4 the reminder is 3 then 91/4 the remainder is 3 and now 183/4 the reminder is once again three. F look at question the reminder is same ie 3.
Rajvir singh said:
1 decade ago
Why do need to take difference three times? (91-43), (183-91) was enough. and then take h.c.f. of 48 and 92 please someone give another example why do we need to do (183-43)?
Mani pandian said:
1 decade ago
Here are the list of prime factors of 24 and 36:
24 = 2 x 2 x 2 x 3.
36 = 2 x 2 x 3 x 3.
If we write down the numbers that are the same in both lists, they will give us the highest common factor of 24 and 36:
HCF of 24 and 36 is 2 x 2 x 3 = 12.
This is the meaning of H.C.F.
24 = 2 x 2 x 2 x 3.
36 = 2 x 2 x 3 x 3.
If we write down the numbers that are the same in both lists, they will give us the highest common factor of 24 and 36:
HCF of 24 and 36 is 2 x 2 x 3 = 12.
This is the meaning of H.C.F.
Afsa said:
1 decade ago
Some one help! What is the logic behind H. C. F?
Sharmi said:
1 decade ago
Why you have to divide all the number with 4. What is the reason, please explain?
Jaggu said:
1 decade ago
43%4 = 3.
91%4 = 3.
183%4 = 3.
That's why answer is 4.
91%4 = 3.
183%4 = 3.
That's why answer is 4.
Niveditaa singh said:
1 decade ago
Is this only method to solve this?
If it can be solve by another way then please explain.
If it can be solve by another way then please explain.
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