Greatest Common Factor of 6918/10, 2798/226

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6918/10, 2798/226

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 6918/10,2798/226

Given fractions are 6918/10,2798/226

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 6918,2798

Greatest Common Factor of Numerators i.e. GCF of 6918,2798 is 2 .

LCM of Denominators means LCM of 10,226 as per the given fractions.

LCM of 10,226 is 1130 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6918,2798

GCF of Fractions 6918/10,2798/226 is 2/1130

2 6918, 2798
3459, 1399

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

Greatest Common Factor of 6918,2798 By Matching Biggest Common Factor Method

Greatest Common Factor of 6918,2798 By Matching Biggest Common Factor Method

Factors of 6918

List of positive integer factors of 6918 that divides 6918 without a remainder.

1,2,3,6,1153,2306,3459,6918

Factors of 2798

List of positive integer factors of 2798 that divides 2798 without a remainder.

1,2,1399,2798

Greatest Common Factor

We found the factors 6918,2798 . The biggest common factor number is the GCF number.
So the greatest common factor 6918,2798 is 2.

Lets's calculate LCM of 10,226

2 10, 226
5, 113

∴ So the LCM of the given numbers is 2 x 5 x 113 = 1130

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1130

Therefore, the GCF of Fractions 6918/10,2798/226 is 2/1130

Least Common Multiple of 10,226 with GCF Formula

Least Common Multiple of 10,226 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 10,226 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,226) = 2

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

GCF(10,226) x common factors =2 x 1 = 2

LCM(10,226) = ( 10 × 226 ) / 2

LCM(10,226) = 2260 / 2

LCM(10,226) = 1130


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 6918/10, 2798/226

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 6918/10, 2798/226?

Answer: GCF of Numerators as per given numbers 6918/10, 2798/226 is

GCF of Numerators i.e. for 6918,2798 is 2

LCM of denominators i.e. for 10,226 is 1130.

Thus, GCF of Fractions is 2/1130.Finally, GCF of Fractions for 6918/10, 2798/226 is 2/1130.