Greatest Common Factor of 309/90, 819/56, 225/266

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 309/90, 819/56, 225/266

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 309/90,819/56,225/266

Given fractions are 309/90,819/56,225/266

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 309,819,225

Greatest Common Factor of Numerators i.e. GCF of 309,819,225 is 3 .

LCM of Denominators means LCM of 90,56,266 as per the given fractions.

LCM of 90,56,266 is 47880 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 309,819,225

GCF of Fractions 309/90,819/56,225/266 is 3/47880

3 309, 819, 225
103, 273, 75

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

Greatest Common Factor of 309,819,225 By Matching Biggest Common Factor Method

Greatest Common Factor of 309,819,225 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 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Greatest Common Factor

We found the factors 309,819,225 . The biggest common factor number is the GCF number.
So the greatest common factor 309,819,225 is 3.

Lets's calculate LCM of 90,56,266

2 90, 56, 266
7 45, 28, 133
45, 4, 19

∴ So the LCM of the given numbers is 2 x 7 x 45 x 4 x 19 = 47880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/47880

Therefore, the GCF of Fractions 309/90,819/56,225/266 is 3/47880

Least Common Multiple of 90,56,266 with GCF Formula

Least Common Multiple of 90,56,266 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 90,56,266 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,56,266) = 2

common factors(in case of two or more numbers have common factors) = 14

GCF(90,56,266) x common factors =2 x 14 = 28

LCM(90,56,266) = ( 90 × 56 × 266 ) / 28

LCM(90,56,266) = 1340640 / 28

LCM(90,56,266) = 47880


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 309/90, 819/56, 225/266

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 309/90, 819/56, 225/266?

Answer: GCF of Numerators as per given numbers 309/90, 819/56, 225/266 is

GCF of Numerators i.e. for 309,819,225 is 3

LCM of denominators i.e. for 90,56,266 is 47880.

Thus, GCF of Fractions is 3/47880.Finally, GCF of Fractions for 309/90, 819/56, 225/266 is 3/47880.