Greatest Common Factor of 7210/318, 5298/8238

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7210/318, 5298/8238

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 7210/318,5298/8238

Given fractions are 7210/318,5298/8238

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 7210,5298

Greatest Common Factor of Numerators i.e. GCF of 7210,5298 is 2 .

LCM of Denominators means LCM of 318,8238 as per the given fractions.

LCM of 318,8238 is 436614 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7210,5298

GCF of Fractions 7210/318,5298/8238 is 2/436614

2 7210, 5298
3605, 2649

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

Greatest Common Factor of 7210,5298 By Matching Biggest Common Factor Method

Greatest Common Factor of 7210,5298 By Matching Biggest Common Factor Method

Factors of 7210

List of positive integer factors of 7210 that divides 7210 without a remainder.

1,2,5,7,10,14,35,70,103,206,515,721,1030,1442,3605,7210

Factors of 5298

List of positive integer factors of 5298 that divides 5298 without a remainder.

1,2,3,6,883,1766,2649,5298

Greatest Common Factor

We found the factors 7210,5298 . The biggest common factor number is the GCF number.
So the greatest common factor 7210,5298 is 2.

Lets's calculate LCM of 318,8238

2 318, 8238
3 159, 4119
53, 1373

∴ So the LCM of the given numbers is 2 x 3 x 53 x 1373 = 436614

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/436614

Therefore, the GCF of Fractions 7210/318,5298/8238 is 2/436614

Least Common Multiple of 318,8238 with GCF Formula

Least Common Multiple of 318,8238 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 318,8238 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(318,8238) = 6

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

GCF(318,8238) x common factors =6 x 1 = 6

LCM(318,8238) = ( 318 × 8238 ) / 6

LCM(318,8238) = 2619684 / 6

LCM(318,8238) = 436614


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 7210/318, 5298/8238

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 7210/318, 5298/8238?

Answer: GCF of Numerators as per given numbers 7210/318, 5298/8238 is

GCF of Numerators i.e. for 7210,5298 is 2

LCM of denominators i.e. for 318,8238 is 436614.

Thus, GCF of Fractions is 2/436614.Finally, GCF of Fractions for 7210/318, 5298/8238 is 2/436614.