Greatest Common Factor of 7059/231, 6850/258

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7059/231, 6850/258

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 7059/231,6850/258

Given fractions are 7059/231,6850/258

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 7059,6850

Greatest Common Factor of Numerators i.e. GCF of 7059,6850 is 1 .

LCM of Denominators means LCM of 231,258 as per the given fractions.

LCM of 231,258 is 19866 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7059,6850

GCF of Fractions 7059/231,6850/258 is 1/19866

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

Greatest Common Factor of 7059,6850 By Matching Biggest Common Factor Method

Greatest Common Factor of 7059,6850 By Matching Biggest Common Factor Method

Factors of 7059

List of positive integer factors of 7059 that divides 7059 without a remainder.

1,3,13,39,181,543,2353,7059

Factors of 6850

List of positive integer factors of 6850 that divides 6850 without a remainder.

1,2,5,10,25,50,137,274,685,1370,3425,6850

Greatest Common Factor

We found the factors 7059,6850 . The biggest common factor number is the GCF number.
So the greatest common factor 7059,6850 is 1.

Lets's calculate LCM of 231,258

3 231, 258
77, 86

∴ So the LCM of the given numbers is 3 x 77 x 86 = 19866

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19866

Therefore, the GCF of Fractions 7059/231,6850/258 is 1/19866

Least Common Multiple of 231,258 with GCF Formula

Least Common Multiple of 231,258 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 231,258 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(231,258) = 3

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

GCF(231,258) x common factors =3 x 1 = 3

LCM(231,258) = ( 231 × 258 ) / 3

LCM(231,258) = 59598 / 3

LCM(231,258) = 19866


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 7059/231, 6850/258

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 7059/231, 6850/258?

Answer: GCF of Numerators as per given numbers 7059/231, 6850/258 is

GCF of Numerators i.e. for 7059,6850 is 1

LCM of denominators i.e. for 231,258 is 19866.

Thus, GCF of Fractions is 1/19866.Finally, GCF of Fractions for 7059/231, 6850/258 is 1/19866.