Greatest Common Factor of 516/16, 260/21, 787/738

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 516/16, 260/21, 787/738

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 516/16,260/21,787/738

Given fractions are 516/16,260/21,787/738

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 516,260,787

Greatest Common Factor of Numerators i.e. GCF of 516,260,787 is 1 .

LCM of Denominators means LCM of 16,21,738 as per the given fractions.

LCM of 16,21,738 is 41328 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 516,260,787

GCF of Fractions 516/16,260/21,787/738 is 1/41328

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

Greatest Common Factor of 516,260,787 By Matching Biggest Common Factor Method

Greatest Common Factor of 516,260,787 By Matching Biggest Common Factor Method

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Factors of 787

List of positive integer factors of 787 that divides 787 without a remainder.

1,787

Greatest Common Factor

We found the factors 516,260,787 . The biggest common factor number is the GCF number.
So the greatest common factor 516,260,787 is 1.

Lets's calculate LCM of 16,21,738

2 16, 21, 738
3 8, 21, 369
8, 7, 123

∴ So the LCM of the given numbers is 2 x 3 x 8 x 7 x 123 = 41328

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41328

Therefore, the GCF of Fractions 516/16,260/21,787/738 is 1/41328

Least Common Multiple of 16,21,738 with GCF Formula

Least Common Multiple of 16,21,738 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 16,21,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,21,738) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(16,21,738) x common factors =1 x 6 = 6

LCM(16,21,738) = ( 16 × 21 × 738 ) / 6

LCM(16,21,738) = 247968 / 6

LCM(16,21,738) = 41328


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 516/16, 260/21, 787/738

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 516/16, 260/21, 787/738?

Answer: GCF of Numerators as per given numbers 516/16, 260/21, 787/738 is

GCF of Numerators i.e. for 516,260,787 is 1

LCM of denominators i.e. for 16,21,738 is 41328.

Thus, GCF of Fractions is 1/41328.Finally, GCF of Fractions for 516/16, 260/21, 787/738 is 1/41328.