Greatest Common Factor of 2694/667, 9334/7793

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2694/667, 9334/7793

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 2694/667,9334/7793

Given fractions are 2694/667,9334/7793

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 2694,9334

Greatest Common Factor of Numerators i.e. GCF of 2694,9334 is 2 .

LCM of Denominators means LCM of 667,7793 as per the given fractions.

LCM of 667,7793 is 5197931 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2694,9334

GCF of Fractions 2694/667,9334/7793 is 2/5197931

2 2694, 9334
1347, 4667

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

Greatest Common Factor of 2694,9334 By Matching Biggest Common Factor Method

Greatest Common Factor of 2694,9334 By Matching Biggest Common Factor Method

Factors of 2694

List of positive integer factors of 2694 that divides 2694 without a remainder.

1,2,3,6,449,898,1347,2694

Factors of 9334

List of positive integer factors of 9334 that divides 9334 without a remainder.

1,2,13,26,359,718,4667,9334

Greatest Common Factor

We found the factors 2694,9334 . The biggest common factor number is the GCF number.
So the greatest common factor 2694,9334 is 2.

Lets's calculate LCM of 667,7793

Given numbers has no common factors except 1. So, there LCM is their product i.e 5197931

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5197931

Therefore, the GCF of Fractions 2694/667,9334/7793 is 2/5197931

Least Common Multiple of 667,7793 with GCF Formula

Least Common Multiple of 667,7793 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 667,7793 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(667,7793) = 1

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

GCF(667,7793) x common factors =1 x 1 = 1

LCM(667,7793) = ( 667 × 7793 ) / 1

LCM(667,7793) = 5197931 / 1

LCM(667,7793) = 5197931


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 2694/667, 9334/7793

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 2694/667, 9334/7793?

Answer: GCF of Numerators as per given numbers 2694/667, 9334/7793 is

GCF of Numerators i.e. for 2694,9334 is 2

LCM of denominators i.e. for 667,7793 is 5197931.

Thus, GCF of Fractions is 2/5197931.Finally, GCF of Fractions for 2694/667, 9334/7793 is 2/5197931.