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 6 of 8.

Kirti said:   1 decade ago
I didn't got how the hcf of 1.08;0.36 & 0.9 coming out to be 18?

Gaurav Goyal said:   1 decade ago
Hi everyone.

I believe the answer should be .9 as 18 is greatest common divisor undoubtedly, but when it come to an option between .9 & .18, .9 is bigger than .18, we have to find the greater right?

Had it been .9 and 1.8, 1.8 would have been the correct answer.

Punamchand said:   1 decade ago
Its Simple Guys.

1). Multiply each number with 100 so that we get whole number.

1.08*100 = 108.
0.36*100 = 36.
0.90*100 = 90.

2). Now Find prime factors of each one.

108 = 3*3*3*2*2.
36 = 3*3*2*2.
90 = 3*3*5*2.

3). Find HCF from each ie 3*3*2 = 18.

Divide 18 by 100 as initially we multiply to get answer in decimal format,

18/100 = 0.18.

Which is the actual answer.

Deepika said:   1 decade ago
Given numbers are 1.08, 0.36 and 0.90. H.C.F. of 108, 36 and 90 is 18,

90)108(1
90_____
18)90(5
90
-----
0

18 is HCF of 90 and 108.

 18)36(2
36
-------
0

HCF of 1.08,0.36,0.90 is 0.18.

Gjgkj said:   1 decade ago
Why it can't be 0.9. It is also dividing all of these number so why it cannnot be the solution.

Anil Kumar said:   1 decade ago
What is G.C.D. Tell me its Abbreviation please?

Pankaj kumar said:   1 decade ago
Dude, all is multiplied by common no. 100 and then find their hcf. Finally, as it was multiplied by 100 so divide the result by 100.

RAMBO said:   1 decade ago
Thanks @Sreeraj for:

3|108, 36, 90
|_____________
3| 36, 12, 30
|_____________
2| 12, 4, 10
|_____________
6, 2, 5

So the H.C.F is 3*3*2 = 18
[need to brush up school's maths book] :P ;)
(1)

Sreeraj said:   1 decade ago
From the given question,

We can take 1.08 = 108 (1.08*100)
0.36 = 36 (0.36*100)
0.9 = 90 (0.9*100), or making the calculation easier. :)


3|108, 36, 90
|_____________
3| 36, 12, 30
|_____________
2| 12, 4, 10
|_____________
6, 2, 5

So the H.C.F is 3*3*2 = 18

At last we have to divide the H.C.F by 100 (Because earlier we multiplied all the given number with 100)

So the final answer is 18/100 = 0.18

Tara said:   1 decade ago
@Pratyusha,
108/100=27/25
36/100=9/25
&9/10
hcf of nrs= 9
lcm of drs=50
so ans=9/50=18/100=0.18


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