Greatest Common Factor of 5722/289, 7684/939

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5722/289, 7684/939

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 5722/289,7684/939

Given fractions are 5722/289,7684/939

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 5722,7684

Greatest Common Factor of Numerators i.e. GCF of 5722,7684 is 2 .

LCM of Denominators means LCM of 289,939 as per the given fractions.

LCM of 289,939 is 271371 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5722,7684

GCF of Fractions 5722/289,7684/939 is 2/271371

2 5722, 7684
2861, 3842

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 5722,7684 By Matching Biggest Common Factor Method

Greatest Common Factor of 5722,7684 By Matching Biggest Common Factor Method

Factors of 5722

List of positive integer factors of 5722 that divides 5722 without a remainder.

1,2,2861,5722

Factors of 7684

List of positive integer factors of 7684 that divides 7684 without a remainder.

1,2,4,17,34,68,113,226,452,1921,3842,7684

Greatest Common Factor

We found the factors 5722,7684 . The biggest common factor number is the GCF number.
So the greatest common factor 5722,7684 is 2.

Lets's calculate LCM of 289,939

Given numbers has no common factors except 1. So, there LCM is their product i.e 271371

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/271371

Therefore, the GCF of Fractions 5722/289,7684/939 is 2/271371

Least Common Multiple of 289,939 with GCF Formula

Least Common Multiple of 289,939 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 289,939 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(289,939) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(289,939) x common factors =1 x 1 = 1

LCM(289,939) = ( 289 × 939 ) / 1

LCM(289,939) = 271371 / 1

LCM(289,939) = 271371


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 5722/289, 7684/939

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 5722/289, 7684/939?

Answer: GCF of Numerators as per given numbers 5722/289, 7684/939 is

GCF of Numerators i.e. for 5722,7684 is 2

LCM of denominators i.e. for 289,939 is 271371.

Thus, GCF of Fractions is 2/271371.Finally, GCF of Fractions for 5722/289, 7684/939 is 2/271371.