Greatest Common Factor of 309/42, 231/57, 628/756

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 309/42, 231/57, 628/756

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 309/42,231/57,628/756

Given fractions are 309/42,231/57,628/756

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 309,231,628

Greatest Common Factor of Numerators i.e. GCF of 309,231,628 is 1 .

LCM of Denominators means LCM of 42,57,756 as per the given fractions.

LCM of 42,57,756 is 14364 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 309,231,628

GCF of Fractions 309/42,231/57,628/756 is 1/14364

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

Greatest Common Factor of 309,231,628 By Matching Biggest Common Factor Method

Greatest Common Factor of 309,231,628 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 231

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

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

Factors of 628

List of positive integer factors of 628 that divides 628 without a remainder.

1,2,4,157,314,628

Greatest Common Factor

We found the factors 309,231,628 . The biggest common factor number is the GCF number.
So the greatest common factor 309,231,628 is 1.

Lets's calculate LCM of 42,57,756

2 42, 57, 756
3 21, 57, 378
7 7, 19, 126
1, 19, 18

∴ So the LCM of the given numbers is 2 x 3 x 7 x 1 x 19 x 18 = 14364

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14364

Therefore, the GCF of Fractions 309/42,231/57,628/756 is 1/14364

Least Common Multiple of 42,57,756 with GCF Formula

Least Common Multiple of 42,57,756 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 42,57,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,57,756) = 3

common factors(in case of two or more numbers have common factors) = 42

GCF(42,57,756) x common factors =3 x 42 = 126

LCM(42,57,756) = ( 42 × 57 × 756 ) / 126

LCM(42,57,756) = 1809864 / 126

LCM(42,57,756) = 14364


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 309/42, 231/57, 628/756

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 309/42, 231/57, 628/756?

Answer: GCF of Numerators as per given numbers 309/42, 231/57, 628/756 is

GCF of Numerators i.e. for 309,231,628 is 1

LCM of denominators i.e. for 42,57,756 is 14364.

Thus, GCF of Fractions is 1/14364.Finally, GCF of Fractions for 309/42, 231/57, 628/756 is 1/14364.