Greatest Common Factor of 516/80, 330/40, 314/578

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 516/80, 330/40, 314/578

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 516/80,330/40,314/578

Given fractions are 516/80,330/40,314/578

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 516,330,314

Greatest Common Factor of Numerators i.e. GCF of 516,330,314 is 2 .

LCM of Denominators means LCM of 80,40,578 as per the given fractions.

LCM of 80,40,578 is 23120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 516,330,314

GCF of Fractions 516/80,330/40,314/578 is 2/23120

2 516, 330, 314
258, 165, 157

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 516,330,314 By Matching Biggest Common Factor Method

Greatest Common Factor of 516,330,314 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 330

List of positive integer factors of 330 that divides 330 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Greatest Common Factor

We found the factors 516,330,314 . The biggest common factor number is the GCF number.
So the greatest common factor 516,330,314 is 2.

Lets's calculate LCM of 80,40,578

2 80, 40, 578
2 40, 20, 289
2 10, 20, 289
5 5, 10, 289
1, 2, 289

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 1 x 2 x 289 = 23120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/23120

Therefore, the GCF of Fractions 516/80,330/40,314/578 is 2/23120

Least Common Multiple of 80,40,578 with GCF Formula

Least Common Multiple of 80,40,578 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 80,40,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,40,578) = 2

common factors(in case of two or more numbers have common factors) = 40

GCF(80,40,578) x common factors =2 x 40 = 80

LCM(80,40,578) = ( 80 × 40 × 578 ) / 80

LCM(80,40,578) = 1849600 / 80

LCM(80,40,578) = 23120


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 516/80, 330/40, 314/578

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 516/80, 330/40, 314/578?

Answer: GCF of Numerators as per given numbers 516/80, 330/40, 314/578 is

GCF of Numerators i.e. for 516,330,314 is 2

LCM of denominators i.e. for 80,40,578 is 23120.

Thus, GCF of Fractions is 2/23120.Finally, GCF of Fractions for 516/80, 330/40, 314/578 is 2/23120.