Greatest Common Factor of 6828/27, 5791/966

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6828/27, 5791/966

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 6828/27,5791/966

Given fractions are 6828/27,5791/966

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 6828,5791

Greatest Common Factor of Numerators i.e. GCF of 6828,5791 is 1 .

LCM of Denominators means LCM of 27,966 as per the given fractions.

LCM of 27,966 is 8694 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6828,5791

GCF of Fractions 6828/27,5791/966 is 1/8694

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 6828,5791 By Matching Biggest Common Factor Method

Greatest Common Factor of 6828,5791 By Matching Biggest Common Factor Method

Factors of 6828

List of positive integer factors of 6828 that divides 6828 without a remainder.

1,2,3,4,6,12,569,1138,1707,2276,3414,6828

Factors of 5791

List of positive integer factors of 5791 that divides 5791 without a remainder.

1,5791

Greatest Common Factor

We found the factors 6828,5791 . The biggest common factor number is the GCF number.
So the greatest common factor 6828,5791 is 1.

Lets's calculate LCM of 27,966

3 27, 966
9, 322

∴ So the LCM of the given numbers is 3 x 9 x 322 = 8694

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8694

Therefore, the GCF of Fractions 6828/27,5791/966 is 1/8694

Least Common Multiple of 27,966 with GCF Formula

Least Common Multiple of 27,966 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 27,966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,966) = 3

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

GCF(27,966) x common factors =3 x 1 = 3

LCM(27,966) = ( 27 × 966 ) / 3

LCM(27,966) = 26082 / 3

LCM(27,966) = 8694


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 6828/27, 5791/966

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 6828/27, 5791/966?

Answer: GCF of Numerators as per given numbers 6828/27, 5791/966 is

GCF of Numerators i.e. for 6828,5791 is 1

LCM of denominators i.e. for 27,966 is 8694.

Thus, GCF of Fractions is 1/8694.Finally, GCF of Fractions for 6828/27, 5791/966 is 1/8694.