Greatest Common Factor of 5881/334, 2504/472

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5881/334, 2504/472

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 5881/334,2504/472

Given fractions are 5881/334,2504/472

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 5881,2504

Greatest Common Factor of Numerators i.e. GCF of 5881,2504 is 1 .

LCM of Denominators means LCM of 334,472 as per the given fractions.

LCM of 334,472 is 78824 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5881,2504

GCF of Fractions 5881/334,2504/472 is 1/78824

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

Greatest Common Factor of 5881,2504 By Matching Biggest Common Factor Method

Greatest Common Factor of 5881,2504 By Matching Biggest Common Factor Method

Factors of 5881

List of positive integer factors of 5881 that divides 5881 without a remainder.

1,5881

Factors of 2504

List of positive integer factors of 2504 that divides 2504 without a remainder.

1,2,4,8,313,626,1252,2504

Greatest Common Factor

We found the factors 5881,2504 . The biggest common factor number is the GCF number.
So the greatest common factor 5881,2504 is 1.

Lets's calculate LCM of 334,472

2 334, 472
167, 236

∴ So the LCM of the given numbers is 2 x 167 x 236 = 78824

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/78824

Therefore, the GCF of Fractions 5881/334,2504/472 is 1/78824

Least Common Multiple of 334,472 with GCF Formula

Least Common Multiple of 334,472 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 334,472 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(334,472) = 2

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

GCF(334,472) x common factors =2 x 1 = 2

LCM(334,472) = ( 334 × 472 ) / 2

LCM(334,472) = 157648 / 2

LCM(334,472) = 78824


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 5881/334, 2504/472

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 5881/334, 2504/472?

Answer: GCF of Numerators as per given numbers 5881/334, 2504/472 is

GCF of Numerators i.e. for 5881,2504 is 1

LCM of denominators i.e. for 334,472 is 78824.

Thus, GCF of Fractions is 1/78824.Finally, GCF of Fractions for 5881/334, 2504/472 is 1/78824.