Greatest Common Factor of 309/726, 588/603, 642/768

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 309/726, 588/603, 642/768

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 309/726,588/603,642/768

Given fractions are 309/726,588/603,642/768

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 309,588,642

Greatest Common Factor of Numerators i.e. GCF of 309,588,642 is 3 .

LCM of Denominators means LCM of 726,603,768 as per the given fractions.

LCM of 726,603,768 is 18678528 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 309,588,642

GCF of Fractions 309/726,588/603,642/768 is 3/18678528

3 309, 588, 642
103, 196, 214

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

Greatest Common Factor of 309,588,642 By Matching Biggest Common Factor Method

Greatest Common Factor of 309,588,642 By Matching Biggest Common Factor Method

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Greatest Common Factor

We found the factors 309,588,642 . The biggest common factor number is the GCF number.
So the greatest common factor 309,588,642 is 3.

Lets's calculate LCM of 726,603,768

2 726, 603, 768
3 363, 603, 384
121, 201, 128

∴ So the LCM of the given numbers is 2 x 3 x 121 x 201 x 128 = 18678528

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/18678528

Therefore, the GCF of Fractions 309/726,588/603,642/768 is 3/18678528

Least Common Multiple of 726,603,768 with GCF Formula

Least Common Multiple of 726,603,768 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 726,603,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(726,603,768) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(726,603,768) x common factors =3 x 6 = 18

LCM(726,603,768) = ( 726 × 603 × 768 ) / 18

LCM(726,603,768) = 336213504 / 18

LCM(726,603,768) = 18678528


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 309/726, 588/603, 642/768

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 309/726, 588/603, 642/768?

Answer: GCF of Numerators as per given numbers 309/726, 588/603, 642/768 is

GCF of Numerators i.e. for 309,588,642 is 3

LCM of denominators i.e. for 726,603,768 is 18678528.

Thus, GCF of Fractions is 3/18678528.Finally, GCF of Fractions for 309/726, 588/603, 642/768 is 3/18678528.