Greatest Common Factor of 6394/937, 2824/3140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6394/937, 2824/3140

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 6394/937,2824/3140

Given fractions are 6394/937,2824/3140

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 6394,2824

Greatest Common Factor of Numerators i.e. GCF of 6394,2824 is 2 .

LCM of Denominators means LCM of 937,3140 as per the given fractions.

LCM of 937,3140 is 2942180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6394,2824

GCF of Fractions 6394/937,2824/3140 is 2/2942180

2 6394, 2824
3197, 1412

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

Greatest Common Factor of 6394,2824 By Matching Biggest Common Factor Method

Greatest Common Factor of 6394,2824 By Matching Biggest Common Factor Method

Factors of 6394

List of positive integer factors of 6394 that divides 6394 without a remainder.

1,2,23,46,139,278,3197,6394

Factors of 2824

List of positive integer factors of 2824 that divides 2824 without a remainder.

1,2,4,8,353,706,1412,2824

Greatest Common Factor

We found the factors 6394,2824 . The biggest common factor number is the GCF number.
So the greatest common factor 6394,2824 is 2.

Lets's calculate LCM of 937,3140

Given numbers has no common factors except 1. So, there LCM is their product i.e 2942180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2942180

Therefore, the GCF of Fractions 6394/937,2824/3140 is 2/2942180

Least Common Multiple of 937,3140 with GCF Formula

Least Common Multiple of 937,3140 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 937,3140 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(937,3140) = 1

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

GCF(937,3140) x common factors =1 x 1 = 1

LCM(937,3140) = ( 937 × 3140 ) / 1

LCM(937,3140) = 2942180 / 1

LCM(937,3140) = 2942180


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 6394/937, 2824/3140

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 6394/937, 2824/3140?

Answer: GCF of Numerators as per given numbers 6394/937, 2824/3140 is

GCF of Numerators i.e. for 6394,2824 is 2

LCM of denominators i.e. for 937,3140 is 2942180.

Thus, GCF of Fractions is 2/2942180.Finally, GCF of Fractions for 6394/937, 2824/3140 is 2/2942180.