Greatest Common Factor of 4476/312, 5823/6874

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4476/312, 5823/6874

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 4476/312,5823/6874

Given fractions are 4476/312,5823/6874

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 4476,5823

Greatest Common Factor of Numerators i.e. GCF of 4476,5823 is 3 .

LCM of Denominators means LCM of 312,6874 as per the given fractions.

LCM of 312,6874 is 1072344 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4476,5823

GCF of Fractions 4476/312,5823/6874 is 3/1072344

3 4476, 5823
1492, 1941

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

Greatest Common Factor of 4476,5823 By Matching Biggest Common Factor Method

Greatest Common Factor of 4476,5823 By Matching Biggest Common Factor Method

Factors of 4476

List of positive integer factors of 4476 that divides 4476 without a remainder.

1,2,3,4,6,12,373,746,1119,1492,2238,4476

Factors of 5823

List of positive integer factors of 5823 that divides 5823 without a remainder.

1,3,9,647,1941,5823

Greatest Common Factor

We found the factors 4476,5823 . The biggest common factor number is the GCF number.
So the greatest common factor 4476,5823 is 3.

Lets's calculate LCM of 312,6874

2 312, 6874
156, 3437

∴ So the LCM of the given numbers is 2 x 156 x 3437 = 1072344

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1072344

Therefore, the GCF of Fractions 4476/312,5823/6874 is 3/1072344

Least Common Multiple of 312,6874 with GCF Formula

Least Common Multiple of 312,6874 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 312,6874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,6874) = 2

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

GCF(312,6874) x common factors =2 x 1 = 2

LCM(312,6874) = ( 312 × 6874 ) / 2

LCM(312,6874) = 2144688 / 2

LCM(312,6874) = 1072344


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 4476/312, 5823/6874

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 4476/312, 5823/6874?

Answer: GCF of Numerators as per given numbers 4476/312, 5823/6874 is

GCF of Numerators i.e. for 4476,5823 is 3

LCM of denominators i.e. for 312,6874 is 1072344.

Thus, GCF of Fractions is 3/1072344.Finally, GCF of Fractions for 4476/312, 5823/6874 is 3/1072344.