Greatest Common Factor of 6760/66, 8744/868

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6760/66, 8744/868

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 6760/66,8744/868

Given fractions are 6760/66,8744/868

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 6760,8744

Greatest Common Factor of Numerators i.e. GCF of 6760,8744 is 8 .

LCM of Denominators means LCM of 66,868 as per the given fractions.

LCM of 66,868 is 28644 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6760,8744

GCF of Fractions 6760/66,8744/868 is 8/28644

2 6760, 8744
2 3380, 4372
2 1690, 2186
845, 1093

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 6760,8744 By Matching Biggest Common Factor Method

Greatest Common Factor of 6760,8744 By Matching Biggest Common Factor Method

Factors of 6760

List of positive integer factors of 6760 that divides 6760 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,169,260,338,520,676,845,1352,1690,3380,6760

Factors of 8744

List of positive integer factors of 8744 that divides 8744 without a remainder.

1,2,4,8,1093,2186,4372,8744

Greatest Common Factor

We found the factors 6760,8744 . The biggest common factor number is the GCF number.
So the greatest common factor 6760,8744 is 8.

Lets's calculate LCM of 66,868

2 66, 868
33, 434

∴ So the LCM of the given numbers is 2 x 33 x 434 = 28644

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/28644

Therefore, the GCF of Fractions 6760/66,8744/868 is 8/28644

Least Common Multiple of 66,868 with GCF Formula

Least Common Multiple of 66,868 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 66,868 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,868) = 2

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

GCF(66,868) x common factors =2 x 1 = 2

LCM(66,868) = ( 66 × 868 ) / 2

LCM(66,868) = 57288 / 2

LCM(66,868) = 28644


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 6760/66, 8744/868

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 6760/66, 8744/868?

Answer: GCF of Numerators as per given numbers 6760/66, 8744/868 is

GCF of Numerators i.e. for 6760,8744 is 8

LCM of denominators i.e. for 66,868 is 28644.

Thus, GCF of Fractions is 8/28644.Finally, GCF of Fractions for 6760/66, 8744/868 is 8/28644.