Greatest Common Factor of 2538/47, 3393/673

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2538/47, 3393/673

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 2538/47,3393/673

Given fractions are 2538/47,3393/673

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 2538,3393

Greatest Common Factor of Numerators i.e. GCF of 2538,3393 is 9 .

LCM of Denominators means LCM of 47,673 as per the given fractions.

LCM of 47,673 is 31631 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2538,3393

GCF of Fractions 2538/47,3393/673 is 9/31631

3 2538, 3393
3 846, 1131
282, 377

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 2538,3393 By Matching Biggest Common Factor Method

Greatest Common Factor of 2538,3393 By Matching Biggest Common Factor Method

Factors of 2538

List of positive integer factors of 2538 that divides 2538 without a remainder.

1,2,3,6,9,18,27,47,54,94,141,282,423,846,1269,2538

Factors of 3393

List of positive integer factors of 3393 that divides 3393 without a remainder.

1,3,9,13,29,39,87,117,261,377,1131,3393

Greatest Common Factor

We found the factors 2538,3393 . The biggest common factor number is the GCF number.
So the greatest common factor 2538,3393 is 9.

Lets's calculate LCM of 47,673

Given numbers has no common factors except 1. So, there LCM is their product i.e 31631

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/31631

Therefore, the GCF of Fractions 2538/47,3393/673 is 9/31631

Least Common Multiple of 47,673 with GCF Formula

Least Common Multiple of 47,673 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 47,673 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,673) = 1

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

GCF(47,673) x common factors =1 x 1 = 1

LCM(47,673) = ( 47 × 673 ) / 1

LCM(47,673) = 31631 / 1

LCM(47,673) = 31631


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 2538/47, 3393/673

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 2538/47, 3393/673?

Answer: GCF of Numerators as per given numbers 2538/47, 3393/673 is

GCF of Numerators i.e. for 2538,3393 is 9

LCM of denominators i.e. for 47,673 is 31631.

Thus, GCF of Fractions is 9/31631.Finally, GCF of Fractions for 2538/47, 3393/673 is 9/31631.