Greatest Common Factor of 2571/759, 6699/288

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2571/759, 6699/288

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 2571/759,6699/288

Given fractions are 2571/759,6699/288

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 2571,6699

Greatest Common Factor of Numerators i.e. GCF of 2571,6699 is 3 .

LCM of Denominators means LCM of 759,288 as per the given fractions.

LCM of 759,288 is 72864 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2571,6699

GCF of Fractions 2571/759,6699/288 is 3/72864

3 2571, 6699
857, 2233

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

Greatest Common Factor of 2571,6699 By Matching Biggest Common Factor Method

Greatest Common Factor of 2571,6699 By Matching Biggest Common Factor Method

Factors of 2571

List of positive integer factors of 2571 that divides 2571 without a remainder.

1,3,857,2571

Factors of 6699

List of positive integer factors of 6699 that divides 6699 without a remainder.

1,3,7,11,21,29,33,77,87,203,231,319,609,957,2233,6699

Greatest Common Factor

We found the factors 2571,6699 . The biggest common factor number is the GCF number.
So the greatest common factor 2571,6699 is 3.

Lets's calculate LCM of 759,288

3 759, 288
253, 96

∴ So the LCM of the given numbers is 3 x 253 x 96 = 72864

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/72864

Therefore, the GCF of Fractions 2571/759,6699/288 is 3/72864

Least Common Multiple of 759,288 with GCF Formula

Least Common Multiple of 759,288 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 759,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(759,288) = 3

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

GCF(759,288) x common factors =3 x 1 = 3

LCM(759,288) = ( 759 × 288 ) / 3

LCM(759,288) = 218592 / 3

LCM(759,288) = 72864


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 2571/759, 6699/288

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 2571/759, 6699/288?

Answer: GCF of Numerators as per given numbers 2571/759, 6699/288 is

GCF of Numerators i.e. for 2571,6699 is 3

LCM of denominators i.e. for 759,288 is 72864.

Thus, GCF of Fractions is 3/72864.Finally, GCF of Fractions for 2571/759, 6699/288 is 3/72864.