Greatest Common Factor of 8138/294, 2902/2758

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8138/294, 2902/2758

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 8138/294,2902/2758

Given fractions are 8138/294,2902/2758

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 8138,2902

Greatest Common Factor of Numerators i.e. GCF of 8138,2902 is 2 .

LCM of Denominators means LCM of 294,2758 as per the given fractions.

LCM of 294,2758 is 57918 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8138,2902

GCF of Fractions 8138/294,2902/2758 is 2/57918

2 8138, 2902
4069, 1451

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

Greatest Common Factor of 8138,2902 By Matching Biggest Common Factor Method

Greatest Common Factor of 8138,2902 By Matching Biggest Common Factor Method

Factors of 8138

List of positive integer factors of 8138 that divides 8138 without a remainder.

1,2,13,26,313,626,4069,8138

Factors of 2902

List of positive integer factors of 2902 that divides 2902 without a remainder.

1,2,1451,2902

Greatest Common Factor

We found the factors 8138,2902 . The biggest common factor number is the GCF number.
So the greatest common factor 8138,2902 is 2.

Lets's calculate LCM of 294,2758

2 294, 2758
7 147, 1379
21, 197

∴ So the LCM of the given numbers is 2 x 7 x 21 x 197 = 57918

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/57918

Therefore, the GCF of Fractions 8138/294,2902/2758 is 2/57918

Least Common Multiple of 294,2758 with GCF Formula

Least Common Multiple of 294,2758 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 294,2758 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(294,2758) = 14

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

GCF(294,2758) x common factors =14 x 1 = 14

LCM(294,2758) = ( 294 × 2758 ) / 14

LCM(294,2758) = 810852 / 14

LCM(294,2758) = 57918


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 8138/294, 2902/2758

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 8138/294, 2902/2758?

Answer: GCF of Numerators as per given numbers 8138/294, 2902/2758 is

GCF of Numerators i.e. for 8138,2902 is 2

LCM of denominators i.e. for 294,2758 is 57918.

Thus, GCF of Fractions is 2/57918.Finally, GCF of Fractions for 8138/294, 2902/2758 is 2/57918.