Greatest Common Factor of 6723/32, 5895/854

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6723/32, 5895/854

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 6723/32,5895/854

Given fractions are 6723/32,5895/854

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 6723,5895

Greatest Common Factor of Numerators i.e. GCF of 6723,5895 is 9 .

LCM of Denominators means LCM of 32,854 as per the given fractions.

LCM of 32,854 is 13664 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6723,5895

GCF of Fractions 6723/32,5895/854 is 9/13664

3 6723, 5895
3 2241, 1965
747, 655

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 6723,5895 By Matching Biggest Common Factor Method

Greatest Common Factor of 6723,5895 By Matching Biggest Common Factor Method

Factors of 6723

List of positive integer factors of 6723 that divides 6723 without a remainder.

1,3,9,27,81,83,249,747,2241,6723

Factors of 5895

List of positive integer factors of 5895 that divides 5895 without a remainder.

1,3,5,9,15,45,131,393,655,1179,1965,5895

Greatest Common Factor

We found the factors 6723,5895 . The biggest common factor number is the GCF number.
So the greatest common factor 6723,5895 is 9.

Lets's calculate LCM of 32,854

2 32, 854
16, 427

∴ So the LCM of the given numbers is 2 x 16 x 427 = 13664

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/13664

Therefore, the GCF of Fractions 6723/32,5895/854 is 9/13664

Least Common Multiple of 32,854 with GCF Formula

Least Common Multiple of 32,854 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 32,854 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,854) = 2

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

GCF(32,854) x common factors =2 x 1 = 2

LCM(32,854) = ( 32 × 854 ) / 2

LCM(32,854) = 27328 / 2

LCM(32,854) = 13664


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 6723/32, 5895/854

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 6723/32, 5895/854?

Answer: GCF of Numerators as per given numbers 6723/32, 5895/854 is

GCF of Numerators i.e. for 6723,5895 is 9

LCM of denominators i.e. for 32,854 is 13664.

Thus, GCF of Fractions is 9/13664.Finally, GCF of Fractions for 6723/32, 5895/854 is 9/13664.