Greatest Common Factor of 13/723, 30/184, 266/513

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 13/723, 30/184, 266/513

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 13/723,30/184,266/513

Given fractions are 13/723,30/184,266/513

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 13,30,266

Greatest Common Factor of Numerators i.e. GCF of 13,30,266 is 1 .

LCM of Denominators means LCM of 723,184,513 as per the given fractions.

LCM of 723,184,513 is 22748472 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 13,30,266

GCF of Fractions 13/723,30/184,266/513 is 1/22748472

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

Greatest Common Factor of 13,30,266 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,30,266 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 266

List of positive integer factors of 266 that divides 266 without a remainder.

1,2,7,14,19,38,133,266

Greatest Common Factor

We found the factors 13,30,266 . The biggest common factor number is the GCF number.
So the greatest common factor 13,30,266 is 1.

Lets's calculate LCM of 723,184,513

3 723, 184, 513
241, 184, 171

∴ So the LCM of the given numbers is 3 x 241 x 184 x 171 = 22748472

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22748472

Therefore, the GCF of Fractions 13/723,30/184,266/513 is 1/22748472

Least Common Multiple of 723,184,513 with GCF Formula

Least Common Multiple of 723,184,513 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 723,184,513 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(723,184,513) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(723,184,513) x common factors =1 x 3 = 3

LCM(723,184,513) = ( 723 × 184 × 513 ) / 3

LCM(723,184,513) = 68245416 / 3

LCM(723,184,513) = 22748472


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 13/723, 30/184, 266/513

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 13/723, 30/184, 266/513?

Answer: GCF of Numerators as per given numbers 13/723, 30/184, 266/513 is

GCF of Numerators i.e. for 13,30,266 is 1

LCM of denominators i.e. for 723,184,513 is 22748472.

Thus, GCF of Fractions is 1/22748472.Finally, GCF of Fractions for 13/723, 30/184, 266/513 is 1/22748472.