Greatest Common Factor of 6723/18, 3455/231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6723/18, 3455/231

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 6723/18,3455/231

Given fractions are 6723/18,3455/231

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 6723,3455

Greatest Common Factor of Numerators i.e. GCF of 6723,3455 is 1 .

LCM of Denominators means LCM of 18,231 as per the given fractions.

LCM of 18,231 is 1386 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6723,3455

GCF of Fractions 6723/18,3455/231 is 1/1386

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

Greatest Common Factor of 6723,3455 By Matching Biggest Common Factor Method

Greatest Common Factor of 6723,3455 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 3455

List of positive integer factors of 3455 that divides 3455 without a remainder.

1,5,691,3455

Greatest Common Factor

We found the factors 6723,3455 . The biggest common factor number is the GCF number.
So the greatest common factor 6723,3455 is 1.

Lets's calculate LCM of 18,231

3 18, 231
6, 77

∴ So the LCM of the given numbers is 3 x 6 x 77 = 1386

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1386

Therefore, the GCF of Fractions 6723/18,3455/231 is 1/1386

Least Common Multiple of 18,231 with GCF Formula

Least Common Multiple of 18,231 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 18,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,231) = 3

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

GCF(18,231) x common factors =3 x 1 = 3

LCM(18,231) = ( 18 × 231 ) / 3

LCM(18,231) = 4158 / 3

LCM(18,231) = 1386


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 6723/18, 3455/231

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 6723/18, 3455/231?

Answer: GCF of Numerators as per given numbers 6723/18, 3455/231 is

GCF of Numerators i.e. for 6723,3455 is 1

LCM of denominators i.e. for 18,231 is 1386.

Thus, GCF of Fractions is 1/1386.Finally, GCF of Fractions for 6723/18, 3455/231 is 1/1386.