Greatest Common Factor of 5879/304, 5339/9911

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5879/304, 5339/9911

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 5879/304,5339/9911

Given fractions are 5879/304,5339/9911

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 5879,5339

Greatest Common Factor of Numerators i.e. GCF of 5879,5339 is 1 .

LCM of Denominators means LCM of 304,9911 as per the given fractions.

LCM of 304,9911 is 3012944 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5879,5339

GCF of Fractions 5879/304,5339/9911 is 1/3012944

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5879,5339 By Matching Biggest Common Factor Method

Greatest Common Factor of 5879,5339 By Matching Biggest Common Factor Method

Factors of 5879

List of positive integer factors of 5879 that divides 5879 without a remainder.

1,5879

Factors of 5339

List of positive integer factors of 5339 that divides 5339 without a remainder.

1,19,281,5339

Greatest Common Factor

We found the factors 5879,5339 . The biggest common factor number is the GCF number.
So the greatest common factor 5879,5339 is 1.

Lets's calculate LCM of 304,9911

Given numbers has no common factors except 1. So, there LCM is their product i.e 3012944

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3012944

Therefore, the GCF of Fractions 5879/304,5339/9911 is 1/3012944

Least Common Multiple of 304,9911 with GCF Formula

Least Common Multiple of 304,9911 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 304,9911 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(304,9911) = 1

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

GCF(304,9911) x common factors =1 x 1 = 1

LCM(304,9911) = ( 304 × 9911 ) / 1

LCM(304,9911) = 3012944 / 1

LCM(304,9911) = 3012944


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 5879/304, 5339/9911

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 5879/304, 5339/9911?

Answer: GCF of Numerators as per given numbers 5879/304, 5339/9911 is

GCF of Numerators i.e. for 5879,5339 is 1

LCM of denominators i.e. for 304,9911 is 3012944.

Thus, GCF of Fractions is 1/3012944.Finally, GCF of Fractions for 5879/304, 5339/9911 is 1/3012944.