Greatest Common Factor of 2060/138, 7974/861

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2060/138, 7974/861

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 2060/138,7974/861

Given fractions are 2060/138,7974/861

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 2060,7974

Greatest Common Factor of Numerators i.e. GCF of 2060,7974 is 2 .

LCM of Denominators means LCM of 138,861 as per the given fractions.

LCM of 138,861 is 39606 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2060,7974

GCF of Fractions 2060/138,7974/861 is 2/39606

2 2060, 7974
1030, 3987

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

Greatest Common Factor of 2060,7974 By Matching Biggest Common Factor Method

Greatest Common Factor of 2060,7974 By Matching Biggest Common Factor Method

Factors of 2060

List of positive integer factors of 2060 that divides 2060 without a remainder.

1,2,4,5,10,20,103,206,412,515,1030,2060

Factors of 7974

List of positive integer factors of 7974 that divides 7974 without a remainder.

1,2,3,6,9,18,443,886,1329,2658,3987,7974

Greatest Common Factor

We found the factors 2060,7974 . The biggest common factor number is the GCF number.
So the greatest common factor 2060,7974 is 2.

Lets's calculate LCM of 138,861

3 138, 861
46, 287

∴ So the LCM of the given numbers is 3 x 46 x 287 = 39606

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/39606

Therefore, the GCF of Fractions 2060/138,7974/861 is 2/39606

Least Common Multiple of 138,861 with GCF Formula

Least Common Multiple of 138,861 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 138,861 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(138,861) = 3

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

GCF(138,861) x common factors =3 x 1 = 3

LCM(138,861) = ( 138 × 861 ) / 3

LCM(138,861) = 118818 / 3

LCM(138,861) = 39606


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 2060/138, 7974/861

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 2060/138, 7974/861?

Answer: GCF of Numerators as per given numbers 2060/138, 7974/861 is

GCF of Numerators i.e. for 2060,7974 is 2

LCM of denominators i.e. for 138,861 is 39606.

Thus, GCF of Fractions is 2/39606.Finally, GCF of Fractions for 2060/138, 7974/861 is 2/39606.