Greatest Common Factor of 6848/586, 5458/867

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6848/586, 5458/867

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 6848/586,5458/867

Given fractions are 6848/586,5458/867

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 6848,5458

Greatest Common Factor of Numerators i.e. GCF of 6848,5458 is 2 .

LCM of Denominators means LCM of 586,867 as per the given fractions.

LCM of 586,867 is 508062 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6848,5458

GCF of Fractions 6848/586,5458/867 is 2/508062

2 6848, 5458
3424, 2729

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

Greatest Common Factor of 6848,5458 By Matching Biggest Common Factor Method

Greatest Common Factor of 6848,5458 By Matching Biggest Common Factor Method

Factors of 6848

List of positive integer factors of 6848 that divides 6848 without a remainder.

1,2,4,8,16,32,64,107,214,428,856,1712,3424,6848

Factors of 5458

List of positive integer factors of 5458 that divides 5458 without a remainder.

1,2,2729,5458

Greatest Common Factor

We found the factors 6848,5458 . The biggest common factor number is the GCF number.
So the greatest common factor 6848,5458 is 2.

Lets's calculate LCM of 586,867

Given numbers has no common factors except 1. So, there LCM is their product i.e 508062

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/508062

Therefore, the GCF of Fractions 6848/586,5458/867 is 2/508062

Least Common Multiple of 586,867 with GCF Formula

Least Common Multiple of 586,867 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 586,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(586,867) = 1

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

GCF(586,867) x common factors =1 x 1 = 1

LCM(586,867) = ( 586 × 867 ) / 1

LCM(586,867) = 508062 / 1

LCM(586,867) = 508062


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 6848/586, 5458/867

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 6848/586, 5458/867?

Answer: GCF of Numerators as per given numbers 6848/586, 5458/867 is

GCF of Numerators i.e. for 6848,5458 is 2

LCM of denominators i.e. for 586,867 is 508062.

Thus, GCF of Fractions is 2/508062.Finally, GCF of Fractions for 6848/586, 5458/867 is 2/508062.