Greatest Common Factor of 4239/507, 2082/609

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4239/507, 2082/609

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 4239/507,2082/609

Given fractions are 4239/507,2082/609

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 4239,2082

Greatest Common Factor of Numerators i.e. GCF of 4239,2082 is 3 .

LCM of Denominators means LCM of 507,609 as per the given fractions.

LCM of 507,609 is 102921 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4239,2082

GCF of Fractions 4239/507,2082/609 is 3/102921

3 4239, 2082
1413, 694

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 4239,2082 By Matching Biggest Common Factor Method

Greatest Common Factor of 4239,2082 By Matching Biggest Common Factor Method

Factors of 4239

List of positive integer factors of 4239 that divides 4239 without a remainder.

1,3,9,27,157,471,1413,4239

Factors of 2082

List of positive integer factors of 2082 that divides 2082 without a remainder.

1,2,3,6,347,694,1041,2082

Greatest Common Factor

We found the factors 4239,2082 . The biggest common factor number is the GCF number.
So the greatest common factor 4239,2082 is 3.

Lets's calculate LCM of 507,609

3 507, 609
169, 203

∴ So the LCM of the given numbers is 3 x 169 x 203 = 102921

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/102921

Therefore, the GCF of Fractions 4239/507,2082/609 is 3/102921

Least Common Multiple of 507,609 with GCF Formula

Least Common Multiple of 507,609 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 507,609 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(507,609) = 3

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

GCF(507,609) x common factors =3 x 1 = 3

LCM(507,609) = ( 507 × 609 ) / 3

LCM(507,609) = 308763 / 3

LCM(507,609) = 102921


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 4239/507, 2082/609

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 4239/507, 2082/609?

Answer: GCF of Numerators as per given numbers 4239/507, 2082/609 is

GCF of Numerators i.e. for 4239,2082 is 3

LCM of denominators i.e. for 507,609 is 102921.

Thus, GCF of Fractions is 3/102921.Finally, GCF of Fractions for 4239/507, 2082/609 is 3/102921.