Greatest Common Factor of 2700/826, 8061/2571

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2700/826, 8061/2571

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 2700/826,8061/2571

Given fractions are 2700/826,8061/2571

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 2700,8061

Greatest Common Factor of Numerators i.e. GCF of 2700,8061 is 3 .

LCM of Denominators means LCM of 826,2571 as per the given fractions.

LCM of 826,2571 is 2123646 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2700,8061

GCF of Fractions 2700/826,8061/2571 is 3/2123646

3 2700, 8061
900, 2687

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

Greatest Common Factor of 2700,8061 By Matching Biggest Common Factor Method

Greatest Common Factor of 2700,8061 By Matching Biggest Common Factor Method

Factors of 2700

List of positive integer factors of 2700 that divides 2700 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,27,30,36,45,50,54,60,75,90,100,108,135,150,180,225,270,300,450,540,675,900,1350,2700

Factors of 8061

List of positive integer factors of 8061 that divides 8061 without a remainder.

1,3,2687,8061

Greatest Common Factor

We found the factors 2700,8061 . The biggest common factor number is the GCF number.
So the greatest common factor 2700,8061 is 3.

Lets's calculate LCM of 826,2571

Given numbers has no common factors except 1. So, there LCM is their product i.e 2123646

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2123646

Therefore, the GCF of Fractions 2700/826,8061/2571 is 3/2123646

Least Common Multiple of 826,2571 with GCF Formula

Least Common Multiple of 826,2571 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 826,2571 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(826,2571) = 1

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

GCF(826,2571) x common factors =1 x 1 = 1

LCM(826,2571) = ( 826 × 2571 ) / 1

LCM(826,2571) = 2123646 / 1

LCM(826,2571) = 2123646


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 2700/826, 8061/2571

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 2700/826, 8061/2571?

Answer: GCF of Numerators as per given numbers 2700/826, 8061/2571 is

GCF of Numerators i.e. for 2700,8061 is 3

LCM of denominators i.e. for 826,2571 is 2123646.

Thus, GCF of Fractions is 3/2123646.Finally, GCF of Fractions for 2700/826, 8061/2571 is 3/2123646.