Greatest Common Factor of 5760/484, 8240/915

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5760/484, 8240/915

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 5760/484,8240/915

Given fractions are 5760/484,8240/915

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 5760,8240

Greatest Common Factor of Numerators i.e. GCF of 5760,8240 is 80 .

LCM of Denominators means LCM of 484,915 as per the given fractions.

LCM of 484,915 is 442860 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5760,8240

GCF of Fractions 5760/484,8240/915 is 80/442860

2 5760, 8240
2 2880, 4120
2 1440, 2060
2 720, 1030
5 360, 515
72, 103

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 5 = 80

Greatest Common Factor of 5760,8240 By Matching Biggest Common Factor Method

Greatest Common Factor of 5760,8240 By Matching Biggest Common Factor Method

Factors of 5760

List of positive integer factors of 5760 that divides 5760 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,32,36,40,45,48,60,64,72,80,90,96,120,128,144,160,180,192,240,288,320,360,384,480,576,640,720,960,1152,1440,1920,2880,5760

Factors of 8240

List of positive integer factors of 8240 that divides 8240 without a remainder.

1,2,4,5,8,10,16,20,40,80,103,206,412,515,824,1030,1648,2060,4120,8240

Greatest Common Factor

We found the factors 5760,8240 . The biggest common factor number is the GCF number.
So the greatest common factor 5760,8240 is 80.

Lets's calculate LCM of 484,915

Given numbers has no common factors except 1. So, there LCM is their product i.e 442860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 80/442860

Therefore, the GCF of Fractions 5760/484,8240/915 is 80/442860

Least Common Multiple of 484,915 with GCF Formula

Least Common Multiple of 484,915 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 484,915 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(484,915) = 1

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

GCF(484,915) x common factors =1 x 1 = 1

LCM(484,915) = ( 484 × 915 ) / 1

LCM(484,915) = 442860 / 1

LCM(484,915) = 442860


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 5760/484, 8240/915

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 5760/484, 8240/915?

Answer: GCF of Numerators as per given numbers 5760/484, 8240/915 is

GCF of Numerators i.e. for 5760,8240 is 80

LCM of denominators i.e. for 484,915 is 442860.

Thus, GCF of Fractions is 80/442860.Finally, GCF of Fractions for 5760/484, 8240/915 is 80/442860.