Greatest Common Factor of 6826/334, 5816/172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6826/334, 5816/172

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 6826/334,5816/172

Given fractions are 6826/334,5816/172

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 6826,5816

Greatest Common Factor of Numerators i.e. GCF of 6826,5816 is 2 .

LCM of Denominators means LCM of 334,172 as per the given fractions.

LCM of 334,172 is 28724 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6826,5816

GCF of Fractions 6826/334,5816/172 is 2/28724

2 6826, 5816
3413, 2908

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

Greatest Common Factor of 6826,5816 By Matching Biggest Common Factor Method

Greatest Common Factor of 6826,5816 By Matching Biggest Common Factor Method

Factors of 6826

List of positive integer factors of 6826 that divides 6826 without a remainder.

1,2,3413,6826

Factors of 5816

List of positive integer factors of 5816 that divides 5816 without a remainder.

1,2,4,8,727,1454,2908,5816

Greatest Common Factor

We found the factors 6826,5816 . The biggest common factor number is the GCF number.
So the greatest common factor 6826,5816 is 2.

Lets's calculate LCM of 334,172

2 334, 172
167, 86

∴ So the LCM of the given numbers is 2 x 167 x 86 = 28724

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/28724

Therefore, the GCF of Fractions 6826/334,5816/172 is 2/28724

Least Common Multiple of 334,172 with GCF Formula

Least Common Multiple of 334,172 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 334,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(334,172) = 2

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

GCF(334,172) x common factors =2 x 1 = 2

LCM(334,172) = ( 334 × 172 ) / 2

LCM(334,172) = 57448 / 2

LCM(334,172) = 28724


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 6826/334, 5816/172

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 6826/334, 5816/172?

Answer: GCF of Numerators as per given numbers 6826/334, 5816/172 is

GCF of Numerators i.e. for 6826,5816 is 2

LCM of denominators i.e. for 334,172 is 28724.

Thus, GCF of Fractions is 2/28724.Finally, GCF of Fractions for 6826/334, 5816/172 is 2/28724.