Greatest Common Factor of 2318/826, 2143/156

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2318/826, 2143/156

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 2318/826,2143/156

Given fractions are 2318/826,2143/156

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 2318,2143

Greatest Common Factor of Numerators i.e. GCF of 2318,2143 is 1 .

LCM of Denominators means LCM of 826,156 as per the given fractions.

LCM of 826,156 is 64428 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2318,2143

GCF of Fractions 2318/826,2143/156 is 1/64428

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

Greatest Common Factor of 2318,2143 By Matching Biggest Common Factor Method

Greatest Common Factor of 2318,2143 By Matching Biggest Common Factor Method

Factors of 2318

List of positive integer factors of 2318 that divides 2318 without a remainder.

1,2,19,38,61,122,1159,2318

Factors of 2143

List of positive integer factors of 2143 that divides 2143 without a remainder.

1,2143

Greatest Common Factor

We found the factors 2318,2143 . The biggest common factor number is the GCF number.
So the greatest common factor 2318,2143 is 1.

Lets's calculate LCM of 826,156

2 826, 156
413, 78

∴ So the LCM of the given numbers is 2 x 413 x 78 = 64428

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/64428

Therefore, the GCF of Fractions 2318/826,2143/156 is 1/64428

Least Common Multiple of 826,156 with GCF Formula

Least Common Multiple of 826,156 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 826,156 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(826,156) = 2

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

GCF(826,156) x common factors =2 x 1 = 2

LCM(826,156) = ( 826 × 156 ) / 2

LCM(826,156) = 128856 / 2

LCM(826,156) = 64428


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 2318/826, 2143/156

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 2318/826, 2143/156?

Answer: GCF of Numerators as per given numbers 2318/826, 2143/156 is

GCF of Numerators i.e. for 2318,2143 is 1

LCM of denominators i.e. for 826,156 is 64428.

Thus, GCF of Fractions is 1/64428.Finally, GCF of Fractions for 2318/826, 2143/156 is 1/64428.