Greatest Common Factor of 7143/876, 4833/511

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7143/876, 4833/511

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 7143/876,4833/511

Given fractions are 7143/876,4833/511

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 7143,4833

Greatest Common Factor of Numerators i.e. GCF of 7143,4833 is 3 .

LCM of Denominators means LCM of 876,511 as per the given fractions.

LCM of 876,511 is 6132 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7143,4833

GCF of Fractions 7143/876,4833/511 is 3/6132

3 7143, 4833
2381, 1611

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

Greatest Common Factor of 7143,4833 By Matching Biggest Common Factor Method

Greatest Common Factor of 7143,4833 By Matching Biggest Common Factor Method

Factors of 7143

List of positive integer factors of 7143 that divides 7143 without a remainder.

1,3,2381,7143

Factors of 4833

List of positive integer factors of 4833 that divides 4833 without a remainder.

1,3,9,27,179,537,1611,4833

Greatest Common Factor

We found the factors 7143,4833 . The biggest common factor number is the GCF number.
So the greatest common factor 7143,4833 is 3.

Lets's calculate LCM of 876,511

73 876, 511
12, 7

∴ So the LCM of the given numbers is 73 x 12 x 7 = 6132

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/6132

Therefore, the GCF of Fractions 7143/876,4833/511 is 3/6132

Least Common Multiple of 876,511 with GCF Formula

Least Common Multiple of 876,511 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 876,511 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(876,511) = 73

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

GCF(876,511) x common factors =73 x 1 = 73

LCM(876,511) = ( 876 × 511 ) / 73

LCM(876,511) = 447636 / 73

LCM(876,511) = 6132


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 7143/876, 4833/511

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 7143/876, 4833/511?

Answer: GCF of Numerators as per given numbers 7143/876, 4833/511 is

GCF of Numerators i.e. for 7143,4833 is 3

LCM of denominators i.e. for 876,511 is 6132.

Thus, GCF of Fractions is 3/6132.Finally, GCF of Fractions for 7143/876, 4833/511 is 3/6132.