Greatest Common Factor of 6870/39, 7821/426

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6870/39, 7821/426

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 6870/39,7821/426

Given fractions are 6870/39,7821/426

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 6870,7821

Greatest Common Factor of Numerators i.e. GCF of 6870,7821 is 3 .

LCM of Denominators means LCM of 39,426 as per the given fractions.

LCM of 39,426 is 5538 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6870,7821

GCF of Fractions 6870/39,7821/426 is 3/5538

3 6870, 7821
2290, 2607

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

Greatest Common Factor of 6870,7821 By Matching Biggest Common Factor Method

Greatest Common Factor of 6870,7821 By Matching Biggest Common Factor Method

Factors of 6870

List of positive integer factors of 6870 that divides 6870 without a remainder.

1,2,3,5,6,10,15,30,229,458,687,1145,1374,2290,3435,6870

Factors of 7821

List of positive integer factors of 7821 that divides 7821 without a remainder.

1,3,9,11,33,79,99,237,711,869,2607,7821

Greatest Common Factor

We found the factors 6870,7821 . The biggest common factor number is the GCF number.
So the greatest common factor 6870,7821 is 3.

Lets's calculate LCM of 39,426

3 39, 426
13, 142

∴ So the LCM of the given numbers is 3 x 13 x 142 = 5538

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5538

Therefore, the GCF of Fractions 6870/39,7821/426 is 3/5538

Least Common Multiple of 39,426 with GCF Formula

Least Common Multiple of 39,426 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 39,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,426) = 3

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

GCF(39,426) x common factors =3 x 1 = 3

LCM(39,426) = ( 39 × 426 ) / 3

LCM(39,426) = 16614 / 3

LCM(39,426) = 5538


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 6870/39, 7821/426

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 6870/39, 7821/426?

Answer: GCF of Numerators as per given numbers 6870/39, 7821/426 is

GCF of Numerators i.e. for 6870,7821 is 3

LCM of denominators i.e. for 39,426 is 5538.

Thus, GCF of Fractions is 3/5538.Finally, GCF of Fractions for 6870/39, 7821/426 is 3/5538.