Greatest Common Factor of 819/675, 618/816

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 819/675, 618/816

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 819/675,618/816

Given fractions are 819/675,618/816

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 819,618

Greatest Common Factor of Numerators i.e. GCF of 819,618 is 3 .

LCM of Denominators means LCM of 675,816 as per the given fractions.

LCM of 675,816 is 183600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 819,618

GCF of Fractions 819/675,618/816 is 3/183600

3 819, 618
273, 206

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

Greatest Common Factor of 819,618 By Matching Biggest Common Factor Method

Greatest Common Factor of 819,618 By Matching Biggest Common Factor Method

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

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Greatest Common Factor

We found the factors 819,618 . The biggest common factor number is the GCF number.
So the greatest common factor 819,618 is 3.

Lets's calculate LCM of 675,816

3 675, 816
225, 272

∴ So the LCM of the given numbers is 3 x 225 x 272 = 183600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/183600

Therefore, the GCF of Fractions 819/675,618/816 is 3/183600

Least Common Multiple of 675,816 with GCF Formula

Least Common Multiple of 675,816 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 675,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(675,816) = 3

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

GCF(675,816) x common factors =3 x 1 = 3

LCM(675,816) = ( 675 × 816 ) / 3

LCM(675,816) = 550800 / 3

LCM(675,816) = 183600


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 819/675, 618/816

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 819/675, 618/816?

Answer: GCF of Numerators as per given numbers 819/675, 618/816 is

GCF of Numerators i.e. for 819,618 is 3

LCM of denominators i.e. for 675,816 is 183600.

Thus, GCF of Fractions is 3/183600.Finally, GCF of Fractions for 819/675, 618/816 is 3/183600.