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. 24)
24.
Which of the following fraction is the largest ?
7
8
13
16
31
40
63
80
Answer: Option
Explanation:

L.C.M. of 8, 16, 40 and 80 = 80.

7 = 70 ;   13 = 65 ;   31 = 62
8 80 16 80 40 80

Since, 70 > 65 > 63 > 62 , so 7 > 13 > 63 > 31
80 80 80 80 8 16 80 40

So, 7 is the largest.
8

Discussion:
49 comments Page 5 of 5.

Sruthi said:   8 years ago
Well said @Vaibhav and @Hanumanth.

Sharath.s said:   8 years ago
Perfect explanation, thanks @Sarah.
(1)

Khagendra said:   8 years ago
Awesome shortcut, thanks @Sarah.
(2)

Vishwanath said:   7 years ago
Since there denominators are divisible by 8, simplify them into.

7/1, 13/2, 31/5, 63/10.

After solving them, it's clear that 7 is the largest.
(4)

Kriti said:   7 years ago
As per my knowledge, the fraction whose denominator is the smallest is the largest fraction.
(6)

Ajkniu said:   6 years ago
As per my knowledge, the fraction whose denominator is the smallest is the largest fraction.
(4)

Saumyojit Das said:   6 years ago
Why we are taking out LCM why not HCF?

HCF will also give a common factor in the denominator.
(1)

Sirin said:   4 years ago
Lcm is

8 16 40 80.

Factor is 2 * 2 * 2 * 5 * 2 = 80.

Mayur said:   4 years ago
First find LCM Of denominator;
LCM of 8,16,40,80=80

Now let's same all the denominator
7*10/8*10. = 70/80.
13*5/16*5. = 65/80.
31*2/40*2 62/80.
63*1/80*1. 63/80.
As u can see all the denominators is the same,
So see numerator now 70/80 { 70 is biggest}


Which means
7/8 Is the largest fraction.
(10)


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