Greatest Common Factor of 516/80, 945/5786

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 516/80, 945/5786

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 516/80,945/5786

Given fractions are 516/80,945/5786

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 516,945

Greatest Common Factor of Numerators i.e. GCF of 516,945 is 3 .

LCM of Denominators means LCM of 80,5786 as per the given fractions.

LCM of 80,5786 is 231440 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 516,945

GCF of Fractions 516/80,945/5786 is 3/231440

3 516, 945
172, 315

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

Greatest Common Factor of 516,945 By Matching Biggest Common Factor Method

Greatest Common Factor of 516,945 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 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Greatest Common Factor

We found the factors 516,945 . The biggest common factor number is the GCF number.
So the greatest common factor 516,945 is 3.

Lets's calculate LCM of 80,5786

2 80, 5786
40, 2893

∴ So the LCM of the given numbers is 2 x 40 x 2893 = 231440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/231440

Therefore, the GCF of Fractions 516/80,945/5786 is 3/231440

Least Common Multiple of 80,5786 with GCF Formula

Least Common Multiple of 80,5786 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 80,5786 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,5786) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(80,5786) x common factors =2 x 1 = 2

LCM(80,5786) = ( 80 × 5786 ) / 2

LCM(80,5786) = 462880 / 2

LCM(80,5786) = 231440


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 516/80, 945/5786

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, 945/5786?

Answer: GCF of Numerators as per given numbers 516/80, 945/5786 is

GCF of Numerators i.e. for 516,945 is 3

LCM of denominators i.e. for 80,5786 is 231440.

Thus, GCF of Fractions is 3/231440.Finally, GCF of Fractions for 516/80, 945/5786 is 3/231440.