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 3 of 8.

Avinash Khapare said:   7 years ago
@Angie.

It's 0.09 not 0.9.

Avinash Khapare said:   7 years ago
@Priya.

Just multiply that no's by 100 then find HCF and when you got HCF then again divide the HCF by 100.

Angie said:   7 years ago
0.9 is greater than 0.18. So 0.9 should be the answer.

SATYAJIT gupta said:   7 years ago
0.09 should be the right answer.

Abitha said:   7 years ago
Why finding HCF here? Please explain to me.

Rishav said:   7 years ago
Well explained, Thanks @Damini.

Arulmozhi said:   7 years ago
The answer is 9 we can divide all these no by 9?

108=9*12
36=4*9
9=1*9
Ans=9 why 18 anyone can explain?

Sahil gupta said:   7 years ago
What is the HCF of 108, 36, 9?

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)

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.


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