Greatest Common Factor of 591/69, 338/12, 229/768

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 591/69, 338/12, 229/768

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 591/69,338/12,229/768

Given fractions are 591/69,338/12,229/768

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 591,338,229

Greatest Common Factor of Numerators i.e. GCF of 591,338,229 is 1 .

LCM of Denominators means LCM of 69,12,768 as per the given fractions.

LCM of 69,12,768 is 17664 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 591,338,229

GCF of Fractions 591/69,338/12,229/768 is 1/17664

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

Greatest Common Factor of 591,338,229 By Matching Biggest Common Factor Method

Greatest Common Factor of 591,338,229 By Matching Biggest Common Factor Method

Factors of 591

List of positive integer factors of 591 that divides 591 without a remainder.

1,3,197,591

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Factors of 229

List of positive integer factors of 229 that divides 229 without a remainder.

1,229

Greatest Common Factor

We found the factors 591,338,229 . The biggest common factor number is the GCF number.
So the greatest common factor 591,338,229 is 1.

Lets's calculate LCM of 69,12,768

2 69, 12, 768
2 69, 6, 384
3 69, 3, 192
23, 1, 64

∴ So the LCM of the given numbers is 2 x 2 x 3 x 23 x 1 x 64 = 17664

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17664

Therefore, the GCF of Fractions 591/69,338/12,229/768 is 1/17664

Least Common Multiple of 69,12,768 with GCF Formula

Least Common Multiple of 69,12,768 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 69,12,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,12,768) = 3

common factors(in case of two or more numbers have common factors) = 12

GCF(69,12,768) x common factors =3 x 12 = 36

LCM(69,12,768) = ( 69 × 12 × 768 ) / 36

LCM(69,12,768) = 635904 / 36

LCM(69,12,768) = 17664


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 591/69, 338/12, 229/768

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 591/69, 338/12, 229/768?

Answer: GCF of Numerators as per given numbers 591/69, 338/12, 229/768 is

GCF of Numerators i.e. for 591,338,229 is 1

LCM of denominators i.e. for 69,12,768 is 17664.

Thus, GCF of Fractions is 1/17664.Finally, GCF of Fractions for 591/69, 338/12, 229/768 is 1/17664.