Greatest Common Factor of 6739/333, 8834/2653

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6739/333, 8834/2653

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 6739/333,8834/2653

Given fractions are 6739/333,8834/2653

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 6739,8834

Greatest Common Factor of Numerators i.e. GCF of 6739,8834 is 1 .

LCM of Denominators means LCM of 333,2653 as per the given fractions.

LCM of 333,2653 is 883449 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6739,8834

GCF of Fractions 6739/333,8834/2653 is 1/883449

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 6739,8834 By Matching Biggest Common Factor Method

Greatest Common Factor of 6739,8834 By Matching Biggest Common Factor Method

Factors of 6739

List of positive integer factors of 6739 that divides 6739 without a remainder.

1,23,293,6739

Factors of 8834

List of positive integer factors of 8834 that divides 8834 without a remainder.

1,2,7,14,631,1262,4417,8834

Greatest Common Factor

We found the factors 6739,8834 . The biggest common factor number is the GCF number.
So the greatest common factor 6739,8834 is 1.

Lets's calculate LCM of 333,2653

Given numbers has no common factors except 1. So, there LCM is their product i.e 883449

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/883449

Therefore, the GCF of Fractions 6739/333,8834/2653 is 1/883449

Least Common Multiple of 333,2653 with GCF Formula

Least Common Multiple of 333,2653 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 333,2653 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(333,2653) = 1

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

GCF(333,2653) x common factors =1 x 1 = 1

LCM(333,2653) = ( 333 × 2653 ) / 1

LCM(333,2653) = 883449 / 1

LCM(333,2653) = 883449


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 6739/333, 8834/2653

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 6739/333, 8834/2653?

Answer: GCF of Numerators as per given numbers 6739/333, 8834/2653 is

GCF of Numerators i.e. for 6739,8834 is 1

LCM of denominators i.e. for 333,2653 is 883449.

Thus, GCF of Fractions is 1/883449.Finally, GCF of Fractions for 6739/333, 8834/2653 is 1/883449.