Greatest Common Factor of 573/827, 1143/841

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 573/827, 1143/841

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 573/827,1143/841

Given fractions are 573/827,1143/841

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 573,1143

Greatest Common Factor of Numerators i.e. GCF of 573,1143 is 3 .

LCM of Denominators means LCM of 827,841 as per the given fractions.

LCM of 827,841 is 695507 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 573,1143

GCF of Fractions 573/827,1143/841 is 3/695507

3 573, 1143
191, 381

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

Greatest Common Factor of 573,1143 By Matching Biggest Common Factor Method

Greatest Common Factor of 573,1143 By Matching Biggest Common Factor Method

Factors of 573

List of positive integer factors of 573 that divides 573 without a remainder.

1,3,191,573

Factors of 1143

List of positive integer factors of 1143 that divides 1143 without a remainder.

1,3,9,127,381,1143

Greatest Common Factor

We found the factors 573,1143 . The biggest common factor number is the GCF number.
So the greatest common factor 573,1143 is 3.

Lets's calculate LCM of 827,841

Given numbers has no common factors except 1. So, there LCM is their product i.e 695507

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/695507

Therefore, the GCF of Fractions 573/827,1143/841 is 3/695507

Least Common Multiple of 827,841 with GCF Formula

Least Common Multiple of 827,841 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 827,841 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(827,841) = 1

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

GCF(827,841) x common factors =1 x 1 = 1

LCM(827,841) = ( 827 × 841 ) / 1

LCM(827,841) = 695507 / 1

LCM(827,841) = 695507


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 573/827, 1143/841

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 573/827, 1143/841?

Answer: GCF of Numerators as per given numbers 573/827, 1143/841 is

GCF of Numerators i.e. for 573,1143 is 3

LCM of denominators i.e. for 827,841 is 695507.

Thus, GCF of Fractions is 3/695507.Finally, GCF of Fractions for 573/827, 1143/841 is 3/695507.