Greatest Common Factor of 8428/740, 5226/8113

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8428/740, 5226/8113

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 8428/740,5226/8113

Given fractions are 8428/740,5226/8113

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 8428,5226

Greatest Common Factor of Numerators i.e. GCF of 8428,5226 is 2 .

LCM of Denominators means LCM of 740,8113 as per the given fractions.

LCM of 740,8113 is 6003620 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8428,5226

GCF of Fractions 8428/740,5226/8113 is 2/6003620

2 8428, 5226
4214, 2613

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

Greatest Common Factor of 8428,5226 By Matching Biggest Common Factor Method

Greatest Common Factor of 8428,5226 By Matching Biggest Common Factor Method

Factors of 8428

List of positive integer factors of 8428 that divides 8428 without a remainder.

1,2,4,7,14,28,43,49,86,98,172,196,301,602,1204,2107,4214,8428

Factors of 5226

List of positive integer factors of 5226 that divides 5226 without a remainder.

1,2,3,6,13,26,39,67,78,134,201,402,871,1742,2613,5226

Greatest Common Factor

We found the factors 8428,5226 . The biggest common factor number is the GCF number.
So the greatest common factor 8428,5226 is 2.

Lets's calculate LCM of 740,8113

Given numbers has no common factors except 1. So, there LCM is their product i.e 6003620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6003620

Therefore, the GCF of Fractions 8428/740,5226/8113 is 2/6003620

Least Common Multiple of 740,8113 with GCF Formula

Least Common Multiple of 740,8113 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 740,8113 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(740,8113) = 1

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

GCF(740,8113) x common factors =1 x 1 = 1

LCM(740,8113) = ( 740 × 8113 ) / 1

LCM(740,8113) = 6003620 / 1

LCM(740,8113) = 6003620


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 8428/740, 5226/8113

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 8428/740, 5226/8113?

Answer: GCF of Numerators as per given numbers 8428/740, 5226/8113 is

GCF of Numerators i.e. for 8428,5226 is 2

LCM of denominators i.e. for 740,8113 is 6003620.

Thus, GCF of Fractions is 2/6003620.Finally, GCF of Fractions for 8428/740, 5226/8113 is 2/6003620.