Greatest Common Factor of 6306/231, 1143/5100

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6306/231, 1143/5100

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 6306/231,1143/5100

Given fractions are 6306/231,1143/5100

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 6306,1143

Greatest Common Factor of Numerators i.e. GCF of 6306,1143 is 3 .

LCM of Denominators means LCM of 231,5100 as per the given fractions.

LCM of 231,5100 is 392700 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6306,1143

GCF of Fractions 6306/231,1143/5100 is 3/392700

3 6306, 1143
2102, 381

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

Greatest Common Factor of 6306,1143 By Matching Biggest Common Factor Method

Greatest Common Factor of 6306,1143 By Matching Biggest Common Factor Method

Factors of 6306

List of positive integer factors of 6306 that divides 6306 without a remainder.

1,2,3,6,1051,2102,3153,6306

Factors of 1143

List of positive integer factors of 1143 that divides 1143 without a remainder.

1,3,9,127,381,1143

Greatest Common Factor

We found the factors 6306,1143 . The biggest common factor number is the GCF number.
So the greatest common factor 6306,1143 is 3.

Lets's calculate LCM of 231,5100

3 231, 5100
77, 1700

∴ So the LCM of the given numbers is 3 x 77 x 1700 = 392700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/392700

Therefore, the GCF of Fractions 6306/231,1143/5100 is 3/392700

Least Common Multiple of 231,5100 with GCF Formula

Least Common Multiple of 231,5100 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 231,5100 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(231,5100) = 3

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

GCF(231,5100) x common factors =3 x 1 = 3

LCM(231,5100) = ( 231 × 5100 ) / 3

LCM(231,5100) = 1178100 / 3

LCM(231,5100) = 392700


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 6306/231, 1143/5100

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 6306/231, 1143/5100?

Answer: GCF of Numerators as per given numbers 6306/231, 1143/5100 is

GCF of Numerators i.e. for 6306,1143 is 3

LCM of denominators i.e. for 231,5100 is 392700.

Thus, GCF of Fractions is 3/392700.Finally, GCF of Fractions for 6306/231, 1143/5100 is 3/392700.