Greatest Common Factor of 8859/557, 8868/744

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8859/557, 8868/744

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 8859/557,8868/744

Given fractions are 8859/557,8868/744

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 8859,8868

Greatest Common Factor of Numerators i.e. GCF of 8859,8868 is 3 .

LCM of Denominators means LCM of 557,744 as per the given fractions.

LCM of 557,744 is 414408 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8859,8868

GCF of Fractions 8859/557,8868/744 is 3/414408

3 8859, 8868
2953, 2956

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

Greatest Common Factor of 8859,8868 By Matching Biggest Common Factor Method

Greatest Common Factor of 8859,8868 By Matching Biggest Common Factor Method

Factors of 8859

List of positive integer factors of 8859 that divides 8859 without a remainder.

1,3,2953,8859

Factors of 8868

List of positive integer factors of 8868 that divides 8868 without a remainder.

1,2,3,4,6,12,739,1478,2217,2956,4434,8868

Greatest Common Factor

We found the factors 8859,8868 . The biggest common factor number is the GCF number.
So the greatest common factor 8859,8868 is 3.

Lets's calculate LCM of 557,744

Given numbers has no common factors except 1. So, there LCM is their product i.e 414408

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/414408

Therefore, the GCF of Fractions 8859/557,8868/744 is 3/414408

Least Common Multiple of 557,744 with GCF Formula

Least Common Multiple of 557,744 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 557,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(557,744) = 1

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

GCF(557,744) x common factors =1 x 1 = 1

LCM(557,744) = ( 557 × 744 ) / 1

LCM(557,744) = 414408 / 1

LCM(557,744) = 414408


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 8859/557, 8868/744

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 8859/557, 8868/744?

Answer: GCF of Numerators as per given numbers 8859/557, 8868/744 is

GCF of Numerators i.e. for 8859,8868 is 3

LCM of denominators i.e. for 557,744 is 414408.

Thus, GCF of Fractions is 3/414408.Finally, GCF of Fractions for 8859/557, 8868/744 is 3/414408.