Greatest Common Factor of 306/75, 909/22, 561/158

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 306/75, 909/22, 561/158

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 306/75,909/22,561/158

Given fractions are 306/75,909/22,561/158

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 306,909,561

Greatest Common Factor of Numerators i.e. GCF of 306,909,561 is 3 .

LCM of Denominators means LCM of 75,22,158 as per the given fractions.

LCM of 75,22,158 is 130350 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 306,909,561

GCF of Fractions 306/75,909/22,561/158 is 3/130350

3 306, 909, 561
102, 303, 187

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

Greatest Common Factor of 306,909,561 By Matching Biggest Common Factor Method

Greatest Common Factor of 306,909,561 By Matching Biggest Common Factor Method

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Factors of 561

List of positive integer factors of 561 that divides 561 without a remainder.

1,3,11,17,33,51,187,561

Greatest Common Factor

We found the factors 306,909,561 . The biggest common factor number is the GCF number.
So the greatest common factor 306,909,561 is 3.

Lets's calculate LCM of 75,22,158

2 75, 22, 158
75, 11, 79

∴ So the LCM of the given numbers is 2 x 75 x 11 x 79 = 130350

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/130350

Therefore, the GCF of Fractions 306/75,909/22,561/158 is 3/130350

Least Common Multiple of 75,22,158 with GCF Formula

Least Common Multiple of 75,22,158 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 75,22,158 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,22,158) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(75,22,158) x common factors =1 x 2 = 2

LCM(75,22,158) = ( 75 × 22 × 158 ) / 2

LCM(75,22,158) = 260700 / 2

LCM(75,22,158) = 130350


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 306/75, 909/22, 561/158

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 306/75, 909/22, 561/158?

Answer: GCF of Numerators as per given numbers 306/75, 909/22, 561/158 is

GCF of Numerators i.e. for 306,909,561 is 3

LCM of denominators i.e. for 75,22,158 is 130350.

Thus, GCF of Fractions is 3/130350.Finally, GCF of Fractions for 306/75, 909/22, 561/158 is 3/130350.