Greatest Common Factor of 2814/723, 8309/266

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2814/723, 8309/266

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 2814/723,8309/266

Given fractions are 2814/723,8309/266

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 2814,8309

Greatest Common Factor of Numerators i.e. GCF of 2814,8309 is 7 .

LCM of Denominators means LCM of 723,266 as per the given fractions.

LCM of 723,266 is 192318 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2814,8309

GCF of Fractions 2814/723,8309/266 is 7/192318

7 2814, 8309
402, 1187

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 2814,8309 By Matching Biggest Common Factor Method

Greatest Common Factor of 2814,8309 By Matching Biggest Common Factor Method

Factors of 2814

List of positive integer factors of 2814 that divides 2814 without a remainder.

1,2,3,6,7,14,21,42,67,134,201,402,469,938,1407,2814

Factors of 8309

List of positive integer factors of 8309 that divides 8309 without a remainder.

1,7,1187,8309

Greatest Common Factor

We found the factors 2814,8309 . The biggest common factor number is the GCF number.
So the greatest common factor 2814,8309 is 7.

Lets's calculate LCM of 723,266

Given numbers has no common factors except 1. So, there LCM is their product i.e 192318

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/192318

Therefore, the GCF of Fractions 2814/723,8309/266 is 7/192318

Least Common Multiple of 723,266 with GCF Formula

Least Common Multiple of 723,266 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 723,266 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(723,266) = 1

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

GCF(723,266) x common factors =1 x 1 = 1

LCM(723,266) = ( 723 × 266 ) / 1

LCM(723,266) = 192318 / 1

LCM(723,266) = 192318


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 2814/723, 8309/266

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 2814/723, 8309/266?

Answer: GCF of Numerators as per given numbers 2814/723, 8309/266 is

GCF of Numerators i.e. for 2814,8309 is 7

LCM of denominators i.e. for 723,266 is 192318.

Thus, GCF of Fractions is 7/192318.Finally, GCF of Fractions for 2814/723, 8309/266 is 7/192318.