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. 8)
8.
The G.C.D. of 1.08, 0.36 and 0.9 is:
0.03
0.9
0.18
0.108
Answer: Option
Explanation:

Given numbers are 1.08, 0.36 and 0.90.   H.C.F. of 108, 36 and 90 is 18,

H.C.F. of given numbers = 0.18.

Discussion:
78 comments Page 5 of 8.

Phil said:   8 years ago
@ALL.

You have to put the same amount of digits after the decimal point to make the equation equal.

Sangram said:   8 years ago
1.08= 27/25, 0.36= 9/25 and 0.9= 9/10.
Now,
The formula of hcf of fraction num is:
HCF of numerator / lcm of denominator,
=> hcf of 27,9,9 is 9 and lcm of 25,25,10 is 50,
=> 9/50 = 0.18.

Krishan kant said:   8 years ago
Why not 0.03?

Dheeraj Yadav said:   8 years ago
1.08-0.36=0.72.
0.90-0.36=0.54.
(0.72-0.54=0.18).

HAROON UR RASHID said:   8 years ago
Yes, we can write 0.9 as 0.90.
Because if we see other given values than after decimal there are two degrees.
Just for making terms we can write 0.9 as 0.90.

Amit Singh said:   8 years ago
In question, it is 0.9 so how in solution it could be .90? Please explain.

Shubham said:   8 years ago
Is it necessary to write .9 as 90/100 instead of 9/10 to get the right answer?

Pradeep said:   7 years ago
How to solve, The HCF of 108, 36, 9 is 18? Please explain.

Reshma said:   7 years ago
Given number 1.08,0.36& 0.9.

To remove the decimal multiply with 100
Then the no are 108, 36, 90
Hcf of these no
108=2*2*3*3*3
36=3*3*2*2
90=3*3*2*5.

Here the 2 is repeated in all no so 2 and 3*3 is also repeated. So the HCF is 3*3*2=18
Here the question is in decimal form so the answer must be also in decimal.
To remove the decimal we multiple with 100 so for the perfect answer divide with 100.
So, the answer is 18÷100=0.18.

Damini Thandele said:   7 years ago
The answer is 0.18 and not 0.09 because first, you're supposed to reduce the fractions to their simplest forms i.e., remove all the common factors between the numerator and denominator and then apply the formula. So,

1.08 = 108/100 = 27/25,
0.36 = 36/100 = 9/25,
0.9 = 9/10,

HCF (27, 9, 9) = 9 and,
LCM (25, 25, 10) = 50.

Therefore, the answer is 9/50 = 0.18.
(3)


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