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 2 of 8.

Nisha said:   1 decade ago
Please solve this ques by using this formula

=hcf of no./lcm of no.

Babu said:   1 decade ago
Thanks a lot.

Harry said:   1 decade ago
How could it be possible....

Given is 1.08 which is =108/100
then .36 = 36/100
the .9 = 9/10
now we hav to find the HCF of 108,36 and 9 which is 9
and LCM of 100,100,10....which is 100
so ans shud b 9/100=.09....
correct me is i am wrong...

MY doubt is why we have converted it in 90...??? plz explain

Kumars.vinay009 said:   1 decade ago
Babu 3, 9, 18, here 18 is the largest number than 3, 9.

So we have to take 18 is the G. C. D.

Seenu said:   1 decade ago
@harry

After decimal we are taking the 2 letters from each one thats why we are using 90 in place of 9.

Prathyusha said:   1 decade ago
How could it be possible ?

Given is 1.08 which is =108/100
Then .36 = 36/100
the .9 = 9/10
now we hav to find the HCF of 108,36 and 9 which is 9
and LCM of 100,100,10....which is 100
so ans shud b 9/100=.09....

Correct me is i am wrong ?

MY doubt is why we have converted it in 90? please explain.

Ramkumar said:   1 decade ago
Hi Prathyusha,

to be very clear and simple....

the number's are 1.08 , 0.36 and 0.9

Also the numbers can be written as 1.08*100/100=108/100 , 0.36*100/100= 36/100 and 0.90*100/100 =90/100

So the number's are 108/100,36/100 and 90/100

Now , GCD of
108= 2*2*3*3*3
36= 2*2*3*3
90= 3*3*5*2

So the HCF for these three numbers are 2*3*3= 18

now the hcf of

100= 2*2*5*5
100= 2*2*5*5
100= 2*2*5*5

so HCF these numbers are 100

so 18/100= 0.18... thats it :)

Appu said:   1 decade ago
If you are given the nos as 108/100, 36/100, 9/10 the answer will be 9/100. Isnt it?

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

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


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