Greatest Common Factor of 384/28, 818/6729

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 384/28, 818/6729

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 384/28,818/6729

Given fractions are 384/28,818/6729

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 384,818

Greatest Common Factor of Numerators i.e. GCF of 384,818 is 2 .

LCM of Denominators means LCM of 28,6729 as per the given fractions.

LCM of 28,6729 is 188412 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 384,818

GCF of Fractions 384/28,818/6729 is 2/188412

2 384, 818
192, 409

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

Greatest Common Factor of 384,818 By Matching Biggest Common Factor Method

Greatest Common Factor of 384,818 By Matching Biggest Common Factor Method

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Factors of 818

List of positive integer factors of 818 that divides 818 without a remainder.

1,2,409,818

Greatest Common Factor

We found the factors 384,818 . The biggest common factor number is the GCF number.
So the greatest common factor 384,818 is 2.

Lets's calculate LCM of 28,6729

Given numbers has no common factors except 1. So, there LCM is their product i.e 188412

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/188412

Therefore, the GCF of Fractions 384/28,818/6729 is 2/188412

Least Common Multiple of 28,6729 with GCF Formula

Least Common Multiple of 28,6729 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 28,6729 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,6729) = 1

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

GCF(28,6729) x common factors =1 x 1 = 1

LCM(28,6729) = ( 28 × 6729 ) / 1

LCM(28,6729) = 188412 / 1

LCM(28,6729) = 188412


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 384/28, 818/6729

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 384/28, 818/6729?

Answer: GCF of Numerators as per given numbers 384/28, 818/6729 is

GCF of Numerators i.e. for 384,818 is 2

LCM of denominators i.e. for 28,6729 is 188412.

Thus, GCF of Fractions is 2/188412.Finally, GCF of Fractions for 384/28, 818/6729 is 2/188412.