Greatest Common Factor of 5200/915, 5877/1152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5200/915, 5877/1152

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 5200/915,5877/1152

Given fractions are 5200/915,5877/1152

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 5200,5877

Greatest Common Factor of Numerators i.e. GCF of 5200,5877 is 1 .

LCM of Denominators means LCM of 915,1152 as per the given fractions.

LCM of 915,1152 is 351360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5200,5877

GCF of Fractions 5200/915,5877/1152 is 1/351360

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

Greatest Common Factor of 5200,5877 By Matching Biggest Common Factor Method

Greatest Common Factor of 5200,5877 By Matching Biggest Common Factor Method

Factors of 5200

List of positive integer factors of 5200 that divides 5200 without a remainder.

1,2,4,5,8,10,13,16,20,25,26,40,50,52,65,80,100,104,130,200,208,260,325,400,520,650,1040,1300,2600,5200

Factors of 5877

List of positive integer factors of 5877 that divides 5877 without a remainder.

1,3,9,653,1959,5877

Greatest Common Factor

We found the factors 5200,5877 . The biggest common factor number is the GCF number.
So the greatest common factor 5200,5877 is 1.

Lets's calculate LCM of 915,1152

3 915, 1152
305, 384

∴ So the LCM of the given numbers is 3 x 305 x 384 = 351360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/351360

Therefore, the GCF of Fractions 5200/915,5877/1152 is 1/351360

Least Common Multiple of 915,1152 with GCF Formula

Least Common Multiple of 915,1152 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 915,1152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(915,1152) = 3

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

GCF(915,1152) x common factors =3 x 1 = 3

LCM(915,1152) = ( 915 × 1152 ) / 3

LCM(915,1152) = 1054080 / 3

LCM(915,1152) = 351360


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 5200/915, 5877/1152

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 5200/915, 5877/1152?

Answer: GCF of Numerators as per given numbers 5200/915, 5877/1152 is

GCF of Numerators i.e. for 5200,5877 is 1

LCM of denominators i.e. for 915,1152 is 351360.

Thus, GCF of Fractions is 1/351360.Finally, GCF of Fractions for 5200/915, 5877/1152 is 1/351360.