Greatest Common Factor of 5291/208, 7260/4560

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5291/208, 7260/4560

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 5291/208,7260/4560

Given fractions are 5291/208,7260/4560

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 5291,7260

Greatest Common Factor of Numerators i.e. GCF of 5291,7260 is 11 .

LCM of Denominators means LCM of 208,4560 as per the given fractions.

LCM of 208,4560 is 59280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5291,7260

GCF of Fractions 5291/208,7260/4560 is 11/59280

11 5291, 7260
481, 660

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 5291,7260 By Matching Biggest Common Factor Method

Greatest Common Factor of 5291,7260 By Matching Biggest Common Factor Method

Factors of 5291

List of positive integer factors of 5291 that divides 5291 without a remainder.

1,11,13,37,143,407,481,5291

Factors of 7260

List of positive integer factors of 7260 that divides 7260 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,121,132,165,220,242,330,363,484,605,660,726,1210,1452,1815,2420,3630,7260

Greatest Common Factor

We found the factors 5291,7260 . The biggest common factor number is the GCF number.
So the greatest common factor 5291,7260 is 11.

Lets's calculate LCM of 208,4560

2 208, 4560
2 104, 2280
2 52, 1140
2 26, 570
13, 285

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 13 x 285 = 59280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/59280

Therefore, the GCF of Fractions 5291/208,7260/4560 is 11/59280

Least Common Multiple of 208,4560 with GCF Formula

Least Common Multiple of 208,4560 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 208,4560 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(208,4560) = 16

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

GCF(208,4560) x common factors =16 x 1 = 16

LCM(208,4560) = ( 208 × 4560 ) / 16

LCM(208,4560) = 948480 / 16

LCM(208,4560) = 59280


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 5291/208, 7260/4560

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 5291/208, 7260/4560?

Answer: GCF of Numerators as per given numbers 5291/208, 7260/4560 is

GCF of Numerators i.e. for 5291,7260 is 11

LCM of denominators i.e. for 208,4560 is 59280.

Thus, GCF of Fractions is 11/59280.Finally, GCF of Fractions for 5291/208, 7260/4560 is 11/59280.