Greatest Common Factor of 6867/511, 2744/168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6867/511, 2744/168

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 6867/511,2744/168

Given fractions are 6867/511,2744/168

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 6867,2744

Greatest Common Factor of Numerators i.e. GCF of 6867,2744 is 7 .

LCM of Denominators means LCM of 511,168 as per the given fractions.

LCM of 511,168 is 12264 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6867,2744

GCF of Fractions 6867/511,2744/168 is 7/12264

7 6867, 2744
981, 392

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 6867,2744 By Matching Biggest Common Factor Method

Greatest Common Factor of 6867,2744 By Matching Biggest Common Factor Method

Factors of 6867

List of positive integer factors of 6867 that divides 6867 without a remainder.

1,3,7,9,21,63,109,327,763,981,2289,6867

Factors of 2744

List of positive integer factors of 2744 that divides 2744 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,343,392,686,1372,2744

Greatest Common Factor

We found the factors 6867,2744 . The biggest common factor number is the GCF number.
So the greatest common factor 6867,2744 is 7.

Lets's calculate LCM of 511,168

7 511, 168
73, 24

∴ So the LCM of the given numbers is 7 x 73 x 24 = 12264

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/12264

Therefore, the GCF of Fractions 6867/511,2744/168 is 7/12264

Least Common Multiple of 511,168 with GCF Formula

Least Common Multiple of 511,168 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 511,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(511,168) = 7

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

GCF(511,168) x common factors =7 x 1 = 7

LCM(511,168) = ( 511 × 168 ) / 7

LCM(511,168) = 85848 / 7

LCM(511,168) = 12264


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 6867/511, 2744/168

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 6867/511, 2744/168?

Answer: GCF of Numerators as per given numbers 6867/511, 2744/168 is

GCF of Numerators i.e. for 6867,2744 is 7

LCM of denominators i.e. for 511,168 is 12264.

Thus, GCF of Fractions is 7/12264.Finally, GCF of Fractions for 6867/511, 2744/168 is 7/12264.