Greatest Common Factor of 24/63, 31/84, 42/54, 73/136

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 24/63, 31/84, 42/54, 73/136

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 24/63,31/84,42/54,73/136

Given fractions are 24/63,31/84,42/54,73/136

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 24,31,42,73

Greatest Common Factor of Numerators i.e. GCF of 24,31,42,73 is 1 .

LCM of Denominators means LCM of 63,84,54,136 as per the given fractions.

LCM of 63,84,54,136 is 25704 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 24,31,42,73

GCF of Fractions 24/63,31/84,42/54,73/136 is 1/25704

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 24,31,42,73 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,31,42,73 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Greatest Common Factor

We found the factors 24,31,42,73 . The biggest common factor number is the GCF number.
So the greatest common factor 24,31,42,73 is 1.

Lets's calculate LCM of 63,84,54,136

2 63, 84, 54, 136
2 63, 42, 27, 68
3 63, 21, 27, 34
3 7, 21, 9, 34
7 7, 7, 3, 34
1, 1, 3, 34

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 7 x 1 x 1 x 3 x 34 = 25704

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25704

Therefore, the GCF of Fractions 24/63,31/84,42/54,73/136 is 1/25704

Least Common Multiple of 63,84,54,136 with GCF Formula

Least Common Multiple of 63,84,54,136 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 63,84,54,136 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,84,54,136) = 1

common factors(in case of two or more numbers have common factors) = 1512

GCF(63,84,54,136) x common factors =1 x 1512 = 1512

LCM(63,84,54,136) = ( 63 × 84 × 54 × 136 ) / 1512

LCM(63,84,54,136) = 38864448 / 1512

LCM(63,84,54,136) = 25704


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 24/63, 31/84, 42/54, 73/136

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 24/63, 31/84, 42/54, 73/136?

Answer: GCF of Numerators as per given numbers 24/63, 31/84, 42/54, 73/136 is

GCF of Numerators i.e. for 24,31,42,73 is 1

LCM of denominators i.e. for 63,84,54,136 is 25704.

Thus, GCF of Fractions is 1/25704.Finally, GCF of Fractions for 24/63, 31/84, 42/54, 73/136 is 1/25704.