Greatest Common Factor of 518/33, 820/3165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 518/33, 820/3165

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 518/33,820/3165

Given fractions are 518/33,820/3165

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 518,820

Greatest Common Factor of Numerators i.e. GCF of 518,820 is 2 .

LCM of Denominators means LCM of 33,3165 as per the given fractions.

LCM of 33,3165 is 34815 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 518,820

GCF of Fractions 518/33,820/3165 is 2/34815

2 518, 820
259, 410

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

Greatest Common Factor of 518,820 By Matching Biggest Common Factor Method

Greatest Common Factor of 518,820 By Matching Biggest Common Factor Method

Factors of 518

List of positive integer factors of 518 that divides 518 without a remainder.

1,2,7,14,37,74,259,518

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Greatest Common Factor

We found the factors 518,820 . The biggest common factor number is the GCF number.
So the greatest common factor 518,820 is 2.

Lets's calculate LCM of 33,3165

3 33, 3165
11, 1055

∴ So the LCM of the given numbers is 3 x 11 x 1055 = 34815

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/34815

Therefore, the GCF of Fractions 518/33,820/3165 is 2/34815

Least Common Multiple of 33,3165 with GCF Formula

Least Common Multiple of 33,3165 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 33,3165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,3165) = 3

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

GCF(33,3165) x common factors =3 x 1 = 3

LCM(33,3165) = ( 33 × 3165 ) / 3

LCM(33,3165) = 104445 / 3

LCM(33,3165) = 34815


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 518/33, 820/3165

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 518/33, 820/3165?

Answer: GCF of Numerators as per given numbers 518/33, 820/3165 is

GCF of Numerators i.e. for 518,820 is 2

LCM of denominators i.e. for 33,3165 is 34815.

Thus, GCF of Fractions is 2/34815.Finally, GCF of Fractions for 518/33, 820/3165 is 2/34815.