Greatest Common Factor of 6321/568, 4460/738

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6321/568, 4460/738

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 6321/568,4460/738

Given fractions are 6321/568,4460/738

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 6321,4460

Greatest Common Factor of Numerators i.e. GCF of 6321,4460 is 1 .

LCM of Denominators means LCM of 568,738 as per the given fractions.

LCM of 568,738 is 209592 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6321,4460

GCF of Fractions 6321/568,4460/738 is 1/209592

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

Greatest Common Factor of 6321,4460 By Matching Biggest Common Factor Method

Greatest Common Factor of 6321,4460 By Matching Biggest Common Factor Method

Factors of 6321

List of positive integer factors of 6321 that divides 6321 without a remainder.

1,3,7,21,43,49,129,147,301,903,2107,6321

Factors of 4460

List of positive integer factors of 4460 that divides 4460 without a remainder.

1,2,4,5,10,20,223,446,892,1115,2230,4460

Greatest Common Factor

We found the factors 6321,4460 . The biggest common factor number is the GCF number.
So the greatest common factor 6321,4460 is 1.

Lets's calculate LCM of 568,738

2 568, 738
284, 369

∴ So the LCM of the given numbers is 2 x 284 x 369 = 209592

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/209592

Therefore, the GCF of Fractions 6321/568,4460/738 is 1/209592

Least Common Multiple of 568,738 with GCF Formula

Least Common Multiple of 568,738 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 568,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(568,738) = 2

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

GCF(568,738) x common factors =2 x 1 = 2

LCM(568,738) = ( 568 × 738 ) / 2

LCM(568,738) = 419184 / 2

LCM(568,738) = 209592


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 6321/568, 4460/738

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 6321/568, 4460/738?

Answer: GCF of Numerators as per given numbers 6321/568, 4460/738 is

GCF of Numerators i.e. for 6321,4460 is 1

LCM of denominators i.e. for 568,738 is 209592.

Thus, GCF of Fractions is 1/209592.Finally, GCF of Fractions for 6321/568, 4460/738 is 1/209592.