Greatest Common Factor of 2823/152, 5769/538

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2823/152, 5769/538

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 2823/152,5769/538

Given fractions are 2823/152,5769/538

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 2823,5769

Greatest Common Factor of Numerators i.e. GCF of 2823,5769 is 3 .

LCM of Denominators means LCM of 152,538 as per the given fractions.

LCM of 152,538 is 40888 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2823,5769

GCF of Fractions 2823/152,5769/538 is 3/40888

3 2823, 5769
941, 1923

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

Greatest Common Factor of 2823,5769 By Matching Biggest Common Factor Method

Greatest Common Factor of 2823,5769 By Matching Biggest Common Factor Method

Factors of 2823

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

1,3,941,2823

Factors of 5769

List of positive integer factors of 5769 that divides 5769 without a remainder.

1,3,9,641,1923,5769

Greatest Common Factor

We found the factors 2823,5769 . The biggest common factor number is the GCF number.
So the greatest common factor 2823,5769 is 3.

Lets's calculate LCM of 152,538

2 152, 538
76, 269

∴ So the LCM of the given numbers is 2 x 76 x 269 = 40888

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/40888

Therefore, the GCF of Fractions 2823/152,5769/538 is 3/40888

Least Common Multiple of 152,538 with GCF Formula

Least Common Multiple of 152,538 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 152,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(152,538) = 2

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

GCF(152,538) x common factors =2 x 1 = 2

LCM(152,538) = ( 152 × 538 ) / 2

LCM(152,538) = 81776 / 2

LCM(152,538) = 40888


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 2823/152, 5769/538

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 2823/152, 5769/538?

Answer: GCF of Numerators as per given numbers 2823/152, 5769/538 is

GCF of Numerators i.e. for 2823,5769 is 3

LCM of denominators i.e. for 152,538 is 40888.

Thus, GCF of Fractions is 3/40888.Finally, GCF of Fractions for 2823/152, 5769/538 is 3/40888.