Greatest Common Factor of 5438/520, 7083/2109

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5438/520, 7083/2109

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 5438/520,7083/2109

Given fractions are 5438/520,7083/2109

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 5438,7083

Greatest Common Factor of Numerators i.e. GCF of 5438,7083 is 1 .

LCM of Denominators means LCM of 520,2109 as per the given fractions.

LCM of 520,2109 is 1096680 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5438,7083

GCF of Fractions 5438/520,7083/2109 is 1/1096680

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

Greatest Common Factor of 5438,7083 By Matching Biggest Common Factor Method

Greatest Common Factor of 5438,7083 By Matching Biggest Common Factor Method

Factors of 5438

List of positive integer factors of 5438 that divides 5438 without a remainder.

1,2,2719,5438

Factors of 7083

List of positive integer factors of 7083 that divides 7083 without a remainder.

1,3,9,787,2361,7083

Greatest Common Factor

We found the factors 5438,7083 . The biggest common factor number is the GCF number.
So the greatest common factor 5438,7083 is 1.

Lets's calculate LCM of 520,2109

Given numbers has no common factors except 1. So, there LCM is their product i.e 1096680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1096680

Therefore, the GCF of Fractions 5438/520,7083/2109 is 1/1096680

Least Common Multiple of 520,2109 with GCF Formula

Least Common Multiple of 520,2109 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 520,2109 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(520,2109) = 1

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

GCF(520,2109) x common factors =1 x 1 = 1

LCM(520,2109) = ( 520 × 2109 ) / 1

LCM(520,2109) = 1096680 / 1

LCM(520,2109) = 1096680


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 5438/520, 7083/2109

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 5438/520, 7083/2109?

Answer: GCF of Numerators as per given numbers 5438/520, 7083/2109 is

GCF of Numerators i.e. for 5438,7083 is 1

LCM of denominators i.e. for 520,2109 is 1096680.

Thus, GCF of Fractions is 1/1096680.Finally, GCF of Fractions for 5438/520, 7083/2109 is 1/1096680.