Greatest Common Factor of 1371/507, 2823/561

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1371/507, 2823/561

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 1371/507,2823/561

Given fractions are 1371/507,2823/561

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 1371,2823

Greatest Common Factor of Numerators i.e. GCF of 1371,2823 is 3 .

LCM of Denominators means LCM of 507,561 as per the given fractions.

LCM of 507,561 is 94809 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1371,2823

GCF of Fractions 1371/507,2823/561 is 3/94809

3 1371, 2823
457, 941

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

Greatest Common Factor of 1371,2823 By Matching Biggest Common Factor Method

Greatest Common Factor of 1371,2823 By Matching Biggest Common Factor Method

Factors of 1371

List of positive integer factors of 1371 that divides 1371 without a remainder.

1,3,457,1371

Factors of 2823

List of positive integer factors of 2823 that divides 2823 without a remainder.

1,3,941,2823

Greatest Common Factor

We found the factors 1371,2823 . The biggest common factor number is the GCF number.
So the greatest common factor 1371,2823 is 3.

Lets's calculate LCM of 507,561

3 507, 561
169, 187

∴ So the LCM of the given numbers is 3 x 169 x 187 = 94809

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/94809

Therefore, the GCF of Fractions 1371/507,2823/561 is 3/94809

Least Common Multiple of 507,561 with GCF Formula

Least Common Multiple of 507,561 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 507,561 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(507,561) = 3

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

GCF(507,561) x common factors =3 x 1 = 3

LCM(507,561) = ( 507 × 561 ) / 3

LCM(507,561) = 284427 / 3

LCM(507,561) = 94809


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 1371/507, 2823/561

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 1371/507, 2823/561?

Answer: GCF of Numerators as per given numbers 1371/507, 2823/561 is

GCF of Numerators i.e. for 1371,2823 is 3

LCM of denominators i.e. for 507,561 is 94809.

Thus, GCF of Fractions is 3/94809.Finally, GCF of Fractions for 1371/507, 2823/561 is 3/94809.