Greatest Common Factor of 509/48, 768/13, 819/15

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 509/48, 768/13, 819/15

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 509/48,768/13,819/15

Given fractions are 509/48,768/13,819/15

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 509,768,819

Greatest Common Factor of Numerators i.e. GCF of 509,768,819 is 1 .

LCM of Denominators means LCM of 48,13,15 as per the given fractions.

LCM of 48,13,15 is 3120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 509,768,819

GCF of Fractions 509/48,768/13,819/15 is 1/3120

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

Greatest Common Factor of 509,768,819 By Matching Biggest Common Factor Method

Greatest Common Factor of 509,768,819 By Matching Biggest Common Factor Method

Factors of 509

List of positive integer factors of 509 that divides 509 without a remainder.

1,509

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

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

Greatest Common Factor

We found the factors 509,768,819 . The biggest common factor number is the GCF number.
So the greatest common factor 509,768,819 is 1.

Lets's calculate LCM of 48,13,15

3 48, 13, 15
16, 13, 5

∴ So the LCM of the given numbers is 3 x 16 x 13 x 5 = 3120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3120

Therefore, the GCF of Fractions 509/48,768/13,819/15 is 1/3120

Least Common Multiple of 48,13,15 with GCF Formula

Least Common Multiple of 48,13,15 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 48,13,15 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,13,15) = 1

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

GCF(48,13,15) x common factors =1 x 3 = 3

LCM(48,13,15) = ( 48 × 13 × 15 ) / 3

LCM(48,13,15) = 9360 / 3

LCM(48,13,15) = 3120


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 509/48, 768/13, 819/15

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 509/48, 768/13, 819/15?

Answer: GCF of Numerators as per given numbers 509/48, 768/13, 819/15 is

GCF of Numerators i.e. for 509,768,819 is 1

LCM of denominators i.e. for 48,13,15 is 3120.

Thus, GCF of Fractions is 1/3120.Finally, GCF of Fractions for 509/48, 768/13, 819/15 is 1/3120.