Greatest Common Factor of 5160/383, 5875/291

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5160/383, 5875/291

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 5160/383,5875/291

Given fractions are 5160/383,5875/291

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 5160,5875

Greatest Common Factor of Numerators i.e. GCF of 5160,5875 is 5 .

LCM of Denominators means LCM of 383,291 as per the given fractions.

LCM of 383,291 is 111453 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5160,5875

GCF of Fractions 5160/383,5875/291 is 5/111453

5 5160, 5875
1032, 1175

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 5160,5875 By Matching Biggest Common Factor Method

Greatest Common Factor of 5160,5875 By Matching Biggest Common Factor Method

Factors of 5160

List of positive integer factors of 5160 that divides 5160 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,43,60,86,120,129,172,215,258,344,430,516,645,860,1032,1290,1720,2580,5160

Factors of 5875

List of positive integer factors of 5875 that divides 5875 without a remainder.

1,5,25,47,125,235,1175,5875

Greatest Common Factor

We found the factors 5160,5875 . The biggest common factor number is the GCF number.
So the greatest common factor 5160,5875 is 5.

Lets's calculate LCM of 383,291

Given numbers has no common factors except 1. So, there LCM is their product i.e 111453

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/111453

Therefore, the GCF of Fractions 5160/383,5875/291 is 5/111453

Least Common Multiple of 383,291 with GCF Formula

Least Common Multiple of 383,291 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 383,291 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(383,291) = 1

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

GCF(383,291) x common factors =1 x 1 = 1

LCM(383,291) = ( 383 × 291 ) / 1

LCM(383,291) = 111453 / 1

LCM(383,291) = 111453


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 5160/383, 5875/291

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 5160/383, 5875/291?

Answer: GCF of Numerators as per given numbers 5160/383, 5875/291 is

GCF of Numerators i.e. for 5160,5875 is 5

LCM of denominators i.e. for 383,291 is 111453.

Thus, GCF of Fractions is 5/111453.Finally, GCF of Fractions for 5160/383, 5875/291 is 5/111453.