Greatest Common Factor of 231/309, 4696/450

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 231/309, 4696/450

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 231/309,4696/450

Given fractions are 231/309,4696/450

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 231,4696

Greatest Common Factor of Numerators i.e. GCF of 231,4696 is 1 .

LCM of Denominators means LCM of 309,450 as per the given fractions.

LCM of 309,450 is 46350 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 231,4696

GCF of Fractions 231/309,4696/450 is 1/46350

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 231,4696 By Matching Biggest Common Factor Method

Greatest Common Factor of 231,4696 By Matching Biggest Common Factor Method

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1,3,7,11,21,33,77,231

Factors of 4696

List of positive integer factors of 4696 that divides 4696 without a remainder.

1,2,4,8,587,1174,2348,4696

Greatest Common Factor

We found the factors 231,4696 . The biggest common factor number is the GCF number.
So the greatest common factor 231,4696 is 1.

Lets's calculate LCM of 309,450

3 309, 450
103, 150

∴ So the LCM of the given numbers is 3 x 103 x 150 = 46350

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46350

Therefore, the GCF of Fractions 231/309,4696/450 is 1/46350

Least Common Multiple of 309,450 with GCF Formula

Least Common Multiple of 309,450 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 309,450 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(309,450) = 3

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

GCF(309,450) x common factors =3 x 1 = 3

LCM(309,450) = ( 309 × 450 ) / 3

LCM(309,450) = 139050 / 3

LCM(309,450) = 46350


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 231/309, 4696/450

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 231/309, 4696/450?

Answer: GCF of Numerators as per given numbers 231/309, 4696/450 is

GCF of Numerators i.e. for 231,4696 is 1

LCM of denominators i.e. for 309,450 is 46350.

Thus, GCF of Fractions is 1/46350.Finally, GCF of Fractions for 231/309, 4696/450 is 1/46350.