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. 23)
23.
Find the highest common factor of 36 and 84.
4
6
12
18
Answer: Option
Explanation:

36 = 22 x 32

84 = 22 x 3 x 7

H.C.F. = 22 x 3 = 12.

Discussion:
19 comments Page 1 of 2.

Purushotham said:   3 years ago
It's simple that 84 and 36 will be divided by only option of 12, so 12 is the HCF.
(3)

Prity Das said:   4 years ago
It is very simple.

First, the difference between 84-36 = 48,
And secondly difference between 48-36 = 12,
Then we got HCF is 12.
(1)

Dham said:   5 years ago
I think 18 also possible to come here please explain in details.

Saranya said:   5 years ago
Can you explain clearly?

Syed Sheraz Haider said:   7 years ago
36= 1*2*3*4*6*9*12*18.
84=1*2*3*4*6*12*14*21.

So, the HCF is 12.

Vikash said:   7 years ago
36= (2)x(2)x(3)x3,
84= (2)x(2)x(3)x7,
Then take the pair that is common;
2x2x3=12.

Ashwin said:   8 years ago
How 12 come? HCF should b 6 na?

Dhananjay Moundekar said:   8 years ago
36)84(2
-72
-------
12)36(3
-36
-----------
X

So, The Answer of the Que is 12.
(2)

Vinoth said:   8 years ago
36 = 2 * 2 * 3 * 3.
84 = 2 * 2 * 3 * 7.

The common values are 2 * 2 * 3 = 12.

Mahesh said:   1 decade ago
Its so good and also so much help full to all.


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