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:
212 comments Page 14 of 22.
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.
Amarnath said:
1 decade ago
Hey friends I will say one example of HCF.
Eg..72and 126...then,
Using Division method First find H.C.F. of 72 and 126.
H.C.F. of 72 and 126 = 18.
Similarly calculate H.C.F. of 18 and 270 as 18.
Hence H.C.F. of the given three numbers = 18.
Eg..72and 126...then,
Using Division method First find H.C.F. of 72 and 126.
72|126|1
72
----
54| 72|1
54
-----
18| 54| 3
54
-----
0
H.C.F. of 72 and 126 = 18.
Similarly calculate H.C.F. of 18 and 270 as 18.
Hence H.C.F. of the given three numbers = 18.
Lohit said:
1 decade ago
Explain logic of the solution ?
Chaitanya said:
1 decade ago
How to calculate HCF ?
Shital said:
1 decade ago
Mysterious please tell me how will be that example converted if divide method and factorization method has given in example?
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