Greatest Common Factor of 2838/733, 8098/339

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2838/733, 8098/339

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 2838/733,8098/339

Given fractions are 2838/733,8098/339

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 2838,8098

Greatest Common Factor of Numerators i.e. GCF of 2838,8098 is 2 .

LCM of Denominators means LCM of 733,339 as per the given fractions.

LCM of 733,339 is 248487 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2838,8098

GCF of Fractions 2838/733,8098/339 is 2/248487

2 2838, 8098
1419, 4049

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

Greatest Common Factor of 2838,8098 By Matching Biggest Common Factor Method

Greatest Common Factor of 2838,8098 By Matching Biggest Common Factor Method

Factors of 2838

List of positive integer factors of 2838 that divides 2838 without a remainder.

1,2,3,6,11,22,33,43,66,86,129,258,473,946,1419,2838

Factors of 8098

List of positive integer factors of 8098 that divides 8098 without a remainder.

1,2,4049,8098

Greatest Common Factor

We found the factors 2838,8098 . The biggest common factor number is the GCF number.
So the greatest common factor 2838,8098 is 2.

Lets's calculate LCM of 733,339

Given numbers has no common factors except 1. So, there LCM is their product i.e 248487

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/248487

Therefore, the GCF of Fractions 2838/733,8098/339 is 2/248487

Least Common Multiple of 733,339 with GCF Formula

Least Common Multiple of 733,339 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 733,339 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(733,339) = 1

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

GCF(733,339) x common factors =1 x 1 = 1

LCM(733,339) = ( 733 × 339 ) / 1

LCM(733,339) = 248487 / 1

LCM(733,339) = 248487


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 2838/733, 8098/339

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 2838/733, 8098/339?

Answer: GCF of Numerators as per given numbers 2838/733, 8098/339 is

GCF of Numerators i.e. for 2838,8098 is 2

LCM of denominators i.e. for 733,339 is 248487.

Thus, GCF of Fractions is 2/248487.Finally, GCF of Fractions for 2838/733, 8098/339 is 2/248487.