Greatest Common Factor of 8559/717, 8004/5901

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8559/717, 8004/5901

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 8559/717,8004/5901

Given fractions are 8559/717,8004/5901

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 8559,8004

Greatest Common Factor of Numerators i.e. GCF of 8559,8004 is 3 .

LCM of Denominators means LCM of 717,5901 as per the given fractions.

LCM of 717,5901 is 1410339 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8559,8004

GCF of Fractions 8559/717,8004/5901 is 3/1410339

3 8559, 8004
2853, 2668

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

Greatest Common Factor of 8559,8004 By Matching Biggest Common Factor Method

Greatest Common Factor of 8559,8004 By Matching Biggest Common Factor Method

Factors of 8559

List of positive integer factors of 8559 that divides 8559 without a remainder.

1,3,9,27,317,951,2853,8559

Factors of 8004

List of positive integer factors of 8004 that divides 8004 without a remainder.

1,2,3,4,6,12,23,29,46,58,69,87,92,116,138,174,276,348,667,1334,2001,2668,4002,8004

Greatest Common Factor

We found the factors 8559,8004 . The biggest common factor number is the GCF number.
So the greatest common factor 8559,8004 is 3.

Lets's calculate LCM of 717,5901

3 717, 5901
239, 1967

∴ So the LCM of the given numbers is 3 x 239 x 1967 = 1410339

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1410339

Therefore, the GCF of Fractions 8559/717,8004/5901 is 3/1410339

Least Common Multiple of 717,5901 with GCF Formula

Least Common Multiple of 717,5901 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 717,5901 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(717,5901) = 3

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

GCF(717,5901) x common factors =3 x 1 = 3

LCM(717,5901) = ( 717 × 5901 ) / 3

LCM(717,5901) = 4231017 / 3

LCM(717,5901) = 1410339


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 8559/717, 8004/5901

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 8559/717, 8004/5901?

Answer: GCF of Numerators as per given numbers 8559/717, 8004/5901 is

GCF of Numerators i.e. for 8559,8004 is 3

LCM of denominators i.e. for 717,5901 is 1410339.

Thus, GCF of Fractions is 3/1410339.Finally, GCF of Fractions for 8559/717, 8004/5901 is 3/1410339.