Greatest Common Factor of 6168/777, 8031/1893

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6168/777, 8031/1893

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 6168/777,8031/1893

Given fractions are 6168/777,8031/1893

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 6168,8031

Greatest Common Factor of Numerators i.e. GCF of 6168,8031 is 3 .

LCM of Denominators means LCM of 777,1893 as per the given fractions.

LCM of 777,1893 is 490287 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6168,8031

GCF of Fractions 6168/777,8031/1893 is 3/490287

3 6168, 8031
2056, 2677

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

Greatest Common Factor of 6168,8031 By Matching Biggest Common Factor Method

Greatest Common Factor of 6168,8031 By Matching Biggest Common Factor Method

Factors of 6168

List of positive integer factors of 6168 that divides 6168 without a remainder.

1,2,3,4,6,8,12,24,257,514,771,1028,1542,2056,3084,6168

Factors of 8031

List of positive integer factors of 8031 that divides 8031 without a remainder.

1,3,2677,8031

Greatest Common Factor

We found the factors 6168,8031 . The biggest common factor number is the GCF number.
So the greatest common factor 6168,8031 is 3.

Lets's calculate LCM of 777,1893

3 777, 1893
259, 631

∴ So the LCM of the given numbers is 3 x 259 x 631 = 490287

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/490287

Therefore, the GCF of Fractions 6168/777,8031/1893 is 3/490287

Least Common Multiple of 777,1893 with GCF Formula

Least Common Multiple of 777,1893 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 777,1893 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(777,1893) = 3

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

GCF(777,1893) x common factors =3 x 1 = 3

LCM(777,1893) = ( 777 × 1893 ) / 3

LCM(777,1893) = 1470861 / 3

LCM(777,1893) = 490287


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 6168/777, 8031/1893

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 6168/777, 8031/1893?

Answer: GCF of Numerators as per given numbers 6168/777, 8031/1893 is

GCF of Numerators i.e. for 6168,8031 is 3

LCM of denominators i.e. for 777,1893 is 490287.

Thus, GCF of Fractions is 3/490287.Finally, GCF of Fractions for 6168/777, 8031/1893 is 3/490287.