Greatest Common Factor of 296/289, 5666/431

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 296/289, 5666/431

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 296/289,5666/431

Given fractions are 296/289,5666/431

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 296,5666

Greatest Common Factor of Numerators i.e. GCF of 296,5666 is 2 .

LCM of Denominators means LCM of 289,431 as per the given fractions.

LCM of 289,431 is 124559 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 296,5666

GCF of Fractions 296/289,5666/431 is 2/124559

2 296, 5666
148, 2833

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 296,5666 By Matching Biggest Common Factor Method

Greatest Common Factor of 296,5666 By Matching Biggest Common Factor Method

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

Factors of 5666

List of positive integer factors of 5666 that divides 5666 without a remainder.

1,2,2833,5666

Greatest Common Factor

We found the factors 296,5666 . The biggest common factor number is the GCF number.
So the greatest common factor 296,5666 is 2.

Lets's calculate LCM of 289,431

Given numbers has no common factors except 1. So, there LCM is their product i.e 124559

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/124559

Therefore, the GCF of Fractions 296/289,5666/431 is 2/124559

Least Common Multiple of 289,431 with GCF Formula

Least Common Multiple of 289,431 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 289,431 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(289,431) = 1

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

GCF(289,431) x common factors =1 x 1 = 1

LCM(289,431) = ( 289 × 431 ) / 1

LCM(289,431) = 124559 / 1

LCM(289,431) = 124559


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 296/289, 5666/431

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 296/289, 5666/431?

Answer: GCF of Numerators as per given numbers 296/289, 5666/431 is

GCF of Numerators i.e. for 296,5666 is 2

LCM of denominators i.e. for 289,431 is 124559.

Thus, GCF of Fractions is 2/124559.Finally, GCF of Fractions for 296/289, 5666/431 is 2/124559.