Greatest Common Factor of 8760/738, 5559/7915

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8760/738, 5559/7915

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 8760/738,5559/7915

Given fractions are 8760/738,5559/7915

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 8760,5559

Greatest Common Factor of Numerators i.e. GCF of 8760,5559 is 3 .

LCM of Denominators means LCM of 738,7915 as per the given fractions.

LCM of 738,7915 is 5841270 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8760,5559

GCF of Fractions 8760/738,5559/7915 is 3/5841270

3 8760, 5559
2920, 1853

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

Greatest Common Factor of 8760,5559 By Matching Biggest Common Factor Method

Greatest Common Factor of 8760,5559 By Matching Biggest Common Factor Method

Factors of 8760

List of positive integer factors of 8760 that divides 8760 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,73,120,146,219,292,365,438,584,730,876,1095,1460,1752,2190,2920,4380,8760

Factors of 5559

List of positive integer factors of 5559 that divides 5559 without a remainder.

1,3,17,51,109,327,1853,5559

Greatest Common Factor

We found the factors 8760,5559 . The biggest common factor number is the GCF number.
So the greatest common factor 8760,5559 is 3.

Lets's calculate LCM of 738,7915

Given numbers has no common factors except 1. So, there LCM is their product i.e 5841270

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5841270

Therefore, the GCF of Fractions 8760/738,5559/7915 is 3/5841270

Least Common Multiple of 738,7915 with GCF Formula

Least Common Multiple of 738,7915 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 738,7915 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(738,7915) = 1

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

GCF(738,7915) x common factors =1 x 1 = 1

LCM(738,7915) = ( 738 × 7915 ) / 1

LCM(738,7915) = 5841270 / 1

LCM(738,7915) = 5841270


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 8760/738, 5559/7915

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 8760/738, 5559/7915?

Answer: GCF of Numerators as per given numbers 8760/738, 5559/7915 is

GCF of Numerators i.e. for 8760,5559 is 3

LCM of denominators i.e. for 738,7915 is 5841270.

Thus, GCF of Fractions is 3/5841270.Finally, GCF of Fractions for 8760/738, 5559/7915 is 3/5841270.