Greatest Common Factor of 513/76, 309/12, 447/821

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 513/76, 309/12, 447/821

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 513/76,309/12,447/821

Given fractions are 513/76,309/12,447/821

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 513,309,447

Greatest Common Factor of Numerators i.e. GCF of 513,309,447 is 3 .

LCM of Denominators means LCM of 76,12,821 as per the given fractions.

LCM of 76,12,821 is 187188 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 513,309,447

GCF of Fractions 513/76,309/12,447/821 is 3/187188

3 513, 309, 447
171, 103, 149

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

Greatest Common Factor of 513,309,447 By Matching Biggest Common Factor Method

Greatest Common Factor of 513,309,447 By Matching Biggest Common Factor Method

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Factors of 309

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

1,3,103,309

Factors of 447

List of positive integer factors of 447 that divides 447 without a remainder.

1,3,149,447

Greatest Common Factor

We found the factors 513,309,447 . The biggest common factor number is the GCF number.
So the greatest common factor 513,309,447 is 3.

Lets's calculate LCM of 76,12,821

2 76, 12, 821
2 38, 6, 821
19, 3, 821

∴ So the LCM of the given numbers is 2 x 2 x 19 x 3 x 821 = 187188

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/187188

Therefore, the GCF of Fractions 513/76,309/12,447/821 is 3/187188

Least Common Multiple of 76,12,821 with GCF Formula

Least Common Multiple of 76,12,821 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 76,12,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,12,821) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(76,12,821) x common factors =1 x 4 = 4

LCM(76,12,821) = ( 76 × 12 × 821 ) / 4

LCM(76,12,821) = 748752 / 4

LCM(76,12,821) = 187188


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 513/76, 309/12, 447/821

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 513/76, 309/12, 447/821?

Answer: GCF of Numerators as per given numbers 513/76, 309/12, 447/821 is

GCF of Numerators i.e. for 513,309,447 is 3

LCM of denominators i.e. for 76,12,821 is 187188.

Thus, GCF of Fractions is 3/187188.Finally, GCF of Fractions for 513/76, 309/12, 447/821 is 3/187188.