Greatest Common Factor of 6679/30, 9422/944

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6679/30, 9422/944

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 6679/30,9422/944

Given fractions are 6679/30,9422/944

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 6679,9422

Greatest Common Factor of Numerators i.e. GCF of 6679,9422 is 1 .

LCM of Denominators means LCM of 30,944 as per the given fractions.

LCM of 30,944 is 14160 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6679,9422

GCF of Fractions 6679/30,9422/944 is 1/14160

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 6679,9422 By Matching Biggest Common Factor Method

Greatest Common Factor of 6679,9422 By Matching Biggest Common Factor Method

Factors of 6679

List of positive integer factors of 6679 that divides 6679 without a remainder.

1,6679

Factors of 9422

List of positive integer factors of 9422 that divides 9422 without a remainder.

1,2,7,14,673,1346,4711,9422

Greatest Common Factor

We found the factors 6679,9422 . The biggest common factor number is the GCF number.
So the greatest common factor 6679,9422 is 1.

Lets's calculate LCM of 30,944

2 30, 944
15, 472

∴ So the LCM of the given numbers is 2 x 15 x 472 = 14160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14160

Therefore, the GCF of Fractions 6679/30,9422/944 is 1/14160

Least Common Multiple of 30,944 with GCF Formula

Least Common Multiple of 30,944 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 30,944 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,944) = 2

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

GCF(30,944) x common factors =2 x 1 = 2

LCM(30,944) = ( 30 × 944 ) / 2

LCM(30,944) = 28320 / 2

LCM(30,944) = 14160


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 6679/30, 9422/944

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 6679/30, 9422/944?

Answer: GCF of Numerators as per given numbers 6679/30, 9422/944 is

GCF of Numerators i.e. for 6679,9422 is 1

LCM of denominators i.e. for 30,944 is 14160.

Thus, GCF of Fractions is 1/14160.Finally, GCF of Fractions for 6679/30, 9422/944 is 1/14160.