Greatest Common Factor of 9023/388, 5187/721

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9023/388, 5187/721

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 9023/388,5187/721

Given fractions are 9023/388,5187/721

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 9023,5187

Greatest Common Factor of Numerators i.e. GCF of 9023,5187 is 7 .

LCM of Denominators means LCM of 388,721 as per the given fractions.

LCM of 388,721 is 279748 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9023,5187

GCF of Fractions 9023/388,5187/721 is 7/279748

7 9023, 5187
1289, 741

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 9023,5187 By Matching Biggest Common Factor Method

Greatest Common Factor of 9023,5187 By Matching Biggest Common Factor Method

Factors of 9023

List of positive integer factors of 9023 that divides 9023 without a remainder.

1,7,1289,9023

Factors of 5187

List of positive integer factors of 5187 that divides 5187 without a remainder.

1,3,7,13,19,21,39,57,91,133,247,273,399,741,1729,5187

Greatest Common Factor

We found the factors 9023,5187 . The biggest common factor number is the GCF number.
So the greatest common factor 9023,5187 is 7.

Lets's calculate LCM of 388,721

Given numbers has no common factors except 1. So, there LCM is their product i.e 279748

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/279748

Therefore, the GCF of Fractions 9023/388,5187/721 is 7/279748

Least Common Multiple of 388,721 with GCF Formula

Least Common Multiple of 388,721 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 388,721 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(388,721) = 1

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

GCF(388,721) x common factors =1 x 1 = 1

LCM(388,721) = ( 388 × 721 ) / 1

LCM(388,721) = 279748 / 1

LCM(388,721) = 279748


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 9023/388, 5187/721

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 9023/388, 5187/721?

Answer: GCF of Numerators as per given numbers 9023/388, 5187/721 is

GCF of Numerators i.e. for 9023,5187 is 7

LCM of denominators i.e. for 388,721 is 279748.

Thus, GCF of Fractions is 7/279748.Finally, GCF of Fractions for 9023/388, 5187/721 is 7/279748.