Greatest Common Factor of 9/96, 56/69, 31/675, 300/137

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9/96, 56/69, 31/675, 300/137

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 9/96,56/69,31/675,300/137

Given fractions are 9/96,56/69,31/675,300/137

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 9,56,31,300

Greatest Common Factor of Numerators i.e. GCF of 9,56,31,300 is 1 .

LCM of Denominators means LCM of 96,69,675,137 as per the given fractions.

LCM of 96,69,675,137 is 68061600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9,56,31,300

GCF of Fractions 9/96,56/69,31/675,300/137 is 1/68061600

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

Greatest Common Factor of 9,56,31,300 By Matching Biggest Common Factor Method

Greatest Common Factor of 9,56,31,300 By Matching Biggest Common Factor Method

Factors of 9

List of positive integer factors of 9 that divides 9 without a remainder.

1,3,9

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 31

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

1,31

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Greatest Common Factor

We found the factors 9,56,31,300 . The biggest common factor number is the GCF number.
So the greatest common factor 9,56,31,300 is 1.

Lets's calculate LCM of 96,69,675,137

3 96, 69, 675, 137
32, 23, 225, 137

∴ So the LCM of the given numbers is 3 x 32 x 23 x 225 x 137 = 68061600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/68061600

Therefore, the GCF of Fractions 9/96,56/69,31/675,300/137 is 1/68061600

Least Common Multiple of 96,69,675,137 with GCF Formula

Least Common Multiple of 96,69,675,137 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 96,69,675,137 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,69,675,137) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(96,69,675,137) x common factors =1 x 9 = 9

LCM(96,69,675,137) = ( 96 × 69 × 675 × 137 ) / 9

LCM(96,69,675,137) = 612554400 / 9

LCM(96,69,675,137) = 68061600


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 9/96, 56/69, 31/675, 300/137

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 9/96, 56/69, 31/675, 300/137?

Answer: GCF of Numerators as per given numbers 9/96, 56/69, 31/675, 300/137 is

GCF of Numerators i.e. for 9,56,31,300 is 1

LCM of denominators i.e. for 96,69,675,137 is 68061600.

Thus, GCF of Fractions is 1/68061600.Finally, GCF of Fractions for 9/96, 56/69, 31/675, 300/137 is 1/68061600.