Greatest Common Factor of 303/231, 8817/114

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 303/231, 8817/114

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 303/231,8817/114

Given fractions are 303/231,8817/114

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 303,8817

Greatest Common Factor of Numerators i.e. GCF of 303,8817 is 3 .

LCM of Denominators means LCM of 231,114 as per the given fractions.

LCM of 231,114 is 8778 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 303,8817

GCF of Fractions 303/231,8817/114 is 3/8778

3 303, 8817
101, 2939

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

Greatest Common Factor of 303,8817 By Matching Biggest Common Factor Method

Greatest Common Factor of 303,8817 By Matching Biggest Common Factor Method

Factors of 303

List of positive integer factors of 303 that divides 303 without a remainder.

1,3,101,303

Factors of 8817

List of positive integer factors of 8817 that divides 8817 without a remainder.

1,3,2939,8817

Greatest Common Factor

We found the factors 303,8817 . The biggest common factor number is the GCF number.
So the greatest common factor 303,8817 is 3.

Lets's calculate LCM of 231,114

3 231, 114
77, 38

∴ So the LCM of the given numbers is 3 x 77 x 38 = 8778

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/8778

Therefore, the GCF of Fractions 303/231,8817/114 is 3/8778

Least Common Multiple of 231,114 with GCF Formula

Least Common Multiple of 231,114 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 231,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(231,114) = 3

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

GCF(231,114) x common factors =3 x 1 = 3

LCM(231,114) = ( 231 × 114 ) / 3

LCM(231,114) = 26334 / 3

LCM(231,114) = 8778


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 303/231, 8817/114

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 303/231, 8817/114?

Answer: GCF of Numerators as per given numbers 303/231, 8817/114 is

GCF of Numerators i.e. for 303,8817 is 3

LCM of denominators i.e. for 231,114 is 8778.

Thus, GCF of Fractions is 3/8778.Finally, GCF of Fractions for 303/231, 8817/114 is 3/8778.