Greatest Common Factor of 2138/959, 5644/500

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2138/959, 5644/500

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 2138/959,5644/500

Given fractions are 2138/959,5644/500

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 2138,5644

Greatest Common Factor of Numerators i.e. GCF of 2138,5644 is 2 .

LCM of Denominators means LCM of 959,500 as per the given fractions.

LCM of 959,500 is 479500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2138,5644

GCF of Fractions 2138/959,5644/500 is 2/479500

2 2138, 5644
1069, 2822

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

Greatest Common Factor of 2138,5644 By Matching Biggest Common Factor Method

Greatest Common Factor of 2138,5644 By Matching Biggest Common Factor Method

Factors of 2138

List of positive integer factors of 2138 that divides 2138 without a remainder.

1,2,1069,2138

Factors of 5644

List of positive integer factors of 5644 that divides 5644 without a remainder.

1,2,4,17,34,68,83,166,332,1411,2822,5644

Greatest Common Factor

We found the factors 2138,5644 . The biggest common factor number is the GCF number.
So the greatest common factor 2138,5644 is 2.

Lets's calculate LCM of 959,500

Given numbers has no common factors except 1. So, there LCM is their product i.e 479500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/479500

Therefore, the GCF of Fractions 2138/959,5644/500 is 2/479500

Least Common Multiple of 959,500 with GCF Formula

Least Common Multiple of 959,500 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 959,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(959,500) = 1

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

GCF(959,500) x common factors =1 x 1 = 1

LCM(959,500) = ( 959 × 500 ) / 1

LCM(959,500) = 479500 / 1

LCM(959,500) = 479500


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 2138/959, 5644/500

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 2138/959, 5644/500?

Answer: GCF of Numerators as per given numbers 2138/959, 5644/500 is

GCF of Numerators i.e. for 2138,5644 is 2

LCM of denominators i.e. for 959,500 is 479500.

Thus, GCF of Fractions is 2/479500.Finally, GCF of Fractions for 2138/959, 5644/500 is 2/479500.