Greatest Common Factor of 8859/342, 7221/754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8859/342, 7221/754

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 8859/342,7221/754

Given fractions are 8859/342,7221/754

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 8859,7221

Greatest Common Factor of Numerators i.e. GCF of 8859,7221 is 3 .

LCM of Denominators means LCM of 342,754 as per the given fractions.

LCM of 342,754 is 128934 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8859,7221

GCF of Fractions 8859/342,7221/754 is 3/128934

3 8859, 7221
2953, 2407

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

Greatest Common Factor of 8859,7221 By Matching Biggest Common Factor Method

Greatest Common Factor of 8859,7221 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 7221

List of positive integer factors of 7221 that divides 7221 without a remainder.

1,3,29,83,87,249,2407,7221

Greatest Common Factor

We found the factors 8859,7221 . The biggest common factor number is the GCF number.
So the greatest common factor 8859,7221 is 3.

Lets's calculate LCM of 342,754

2 342, 754
171, 377

∴ So the LCM of the given numbers is 2 x 171 x 377 = 128934

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/128934

Therefore, the GCF of Fractions 8859/342,7221/754 is 3/128934

Least Common Multiple of 342,754 with GCF Formula

Least Common Multiple of 342,754 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 342,754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(342,754) = 2

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

GCF(342,754) x common factors =2 x 1 = 2

LCM(342,754) = ( 342 × 754 ) / 2

LCM(342,754) = 257868 / 2

LCM(342,754) = 128934


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 8859/342, 7221/754

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 8859/342, 7221/754?

Answer: GCF of Numerators as per given numbers 8859/342, 7221/754 is

GCF of Numerators i.e. for 8859,7221 is 3

LCM of denominators i.e. for 342,754 is 128934.

Thus, GCF of Fractions is 3/128934.Finally, GCF of Fractions for 8859/342, 7221/754 is 3/128934.