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.

Rajkumar said:   1 decade ago
Similarly 84/2=42
42/2=21
21/3=7

Then we have to take the common on both sides i.e from 2*2*3*2 and 2*2*3*7. thus 2*2*3=12. Hence the answer is obtained.

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)

Prashant pandey said:   1 decade ago
36/2=18
18/2=9
9/3=3
3/3=1

that is 2*2*3*3
similarly for 86 and then take comman prime between them
and then multiply as above

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

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

Aparna said:   1 decade ago
firstly find the prime factors of both the numbers
then choose the common prime numbers whose power is less
tats the hcf

Raviteja said:   1 decade ago
H.C.F OF 36 AND 84 is

36)84(2
72
--
12)36(3
36
---
X
so H.C.F=12.

Prasanna said:   2 decades ago
I cant understand how this problem has solved ? actually what is the procedure ? tell me

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.

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)

TeenuVarghese said:   1 decade ago
H.C.F. = 22 x 3 = 12. I can't understand this line can any explain in this line?


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