Greatest Common Factor of 8266/819, 7116/1314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8266/819, 7116/1314

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 8266/819,7116/1314

Given fractions are 8266/819,7116/1314

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 8266,7116

Greatest Common Factor of Numerators i.e. GCF of 8266,7116 is 2 .

LCM of Denominators means LCM of 819,1314 as per the given fractions.

LCM of 819,1314 is 119574 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8266,7116

GCF of Fractions 8266/819,7116/1314 is 2/119574

2 8266, 7116
4133, 3558

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

Greatest Common Factor of 8266,7116 By Matching Biggest Common Factor Method

Greatest Common Factor of 8266,7116 By Matching Biggest Common Factor Method

Factors of 8266

List of positive integer factors of 8266 that divides 8266 without a remainder.

1,2,4133,8266

Factors of 7116

List of positive integer factors of 7116 that divides 7116 without a remainder.

1,2,3,4,6,12,593,1186,1779,2372,3558,7116

Greatest Common Factor

We found the factors 8266,7116 . The biggest common factor number is the GCF number.
So the greatest common factor 8266,7116 is 2.

Lets's calculate LCM of 819,1314

3 819, 1314
3 273, 438
91, 146

∴ So the LCM of the given numbers is 3 x 3 x 91 x 146 = 119574

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/119574

Therefore, the GCF of Fractions 8266/819,7116/1314 is 2/119574

Least Common Multiple of 819,1314 with GCF Formula

Least Common Multiple of 819,1314 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 819,1314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(819,1314) = 9

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

GCF(819,1314) x common factors =9 x 1 = 9

LCM(819,1314) = ( 819 × 1314 ) / 9

LCM(819,1314) = 1076166 / 9

LCM(819,1314) = 119574


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 8266/819, 7116/1314

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 8266/819, 7116/1314?

Answer: GCF of Numerators as per given numbers 8266/819, 7116/1314 is

GCF of Numerators i.e. for 8266,7116 is 2

LCM of denominators i.e. for 819,1314 is 119574.

Thus, GCF of Fractions is 2/119574.Finally, GCF of Fractions for 8266/819, 7116/1314 is 2/119574.