Greatest Common Factor of 6321/237, 1676/519

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6321/237, 1676/519

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 6321/237,1676/519

Given fractions are 6321/237,1676/519

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 6321,1676

Greatest Common Factor of Numerators i.e. GCF of 6321,1676 is 1 .

LCM of Denominators means LCM of 237,519 as per the given fractions.

LCM of 237,519 is 41001 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6321,1676

GCF of Fractions 6321/237,1676/519 is 1/41001

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

Greatest Common Factor of 6321,1676 By Matching Biggest Common Factor Method

Greatest Common Factor of 6321,1676 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 1676

List of positive integer factors of 1676 that divides 1676 without a remainder.

1,2,4,419,838,1676

Greatest Common Factor

We found the factors 6321,1676 . The biggest common factor number is the GCF number.
So the greatest common factor 6321,1676 is 1.

Lets's calculate LCM of 237,519

3 237, 519
79, 173

∴ So the LCM of the given numbers is 3 x 79 x 173 = 41001

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41001

Therefore, the GCF of Fractions 6321/237,1676/519 is 1/41001

Least Common Multiple of 237,519 with GCF Formula

Least Common Multiple of 237,519 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 237,519 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(237,519) = 3

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

GCF(237,519) x common factors =3 x 1 = 3

LCM(237,519) = ( 237 × 519 ) / 3

LCM(237,519) = 123003 / 3

LCM(237,519) = 41001


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 6321/237, 1676/519

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 6321/237, 1676/519?

Answer: GCF of Numerators as per given numbers 6321/237, 1676/519 is

GCF of Numerators i.e. for 6321,1676 is 1

LCM of denominators i.e. for 237,519 is 41001.

Thus, GCF of Fractions is 1/41001.Finally, GCF of Fractions for 6321/237, 1676/519 is 1/41001.