Greatest Common Factor of 5589/247, 8331/872

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5589/247, 8331/872

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 5589/247,8331/872

Given fractions are 5589/247,8331/872

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 5589,8331

Greatest Common Factor of Numerators i.e. GCF of 5589,8331 is 3 .

LCM of Denominators means LCM of 247,872 as per the given fractions.

LCM of 247,872 is 215384 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5589,8331

GCF of Fractions 5589/247,8331/872 is 3/215384

3 5589, 8331
1863, 2777

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

Greatest Common Factor of 5589,8331 By Matching Biggest Common Factor Method

Greatest Common Factor of 5589,8331 By Matching Biggest Common Factor Method

Factors of 5589

List of positive integer factors of 5589 that divides 5589 without a remainder.

1,3,9,23,27,69,81,207,243,621,1863,5589

Factors of 8331

List of positive integer factors of 8331 that divides 8331 without a remainder.

1,3,2777,8331

Greatest Common Factor

We found the factors 5589,8331 . The biggest common factor number is the GCF number.
So the greatest common factor 5589,8331 is 3.

Lets's calculate LCM of 247,872

Given numbers has no common factors except 1. So, there LCM is their product i.e 215384

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/215384

Therefore, the GCF of Fractions 5589/247,8331/872 is 3/215384

Least Common Multiple of 247,872 with GCF Formula

Least Common Multiple of 247,872 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 247,872 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(247,872) = 1

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

GCF(247,872) x common factors =1 x 1 = 1

LCM(247,872) = ( 247 × 872 ) / 1

LCM(247,872) = 215384 / 1

LCM(247,872) = 215384


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 5589/247, 8331/872

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 5589/247, 8331/872?

Answer: GCF of Numerators as per given numbers 5589/247, 8331/872 is

GCF of Numerators i.e. for 5589,8331 is 3

LCM of denominators i.e. for 247,872 is 215384.

Thus, GCF of Fractions is 3/215384.Finally, GCF of Fractions for 5589/247, 8331/872 is 3/215384.