Greatest Common Factor of 6723/16, 6726/572

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6723/16, 6726/572

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 6723/16,6726/572

Given fractions are 6723/16,6726/572

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 6723,6726

Greatest Common Factor of Numerators i.e. GCF of 6723,6726 is 3 .

LCM of Denominators means LCM of 16,572 as per the given fractions.

LCM of 16,572 is 2288 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6723,6726

GCF of Fractions 6723/16,6726/572 is 3/2288

3 6723, 6726
2241, 2242

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

Greatest Common Factor of 6723,6726 By Matching Biggest Common Factor Method

Greatest Common Factor of 6723,6726 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 6726

List of positive integer factors of 6726 that divides 6726 without a remainder.

1,2,3,6,19,38,57,59,114,118,177,354,1121,2242,3363,6726

Greatest Common Factor

We found the factors 6723,6726 . The biggest common factor number is the GCF number.
So the greatest common factor 6723,6726 is 3.

Lets's calculate LCM of 16,572

2 16, 572
2 8, 286
4, 143

∴ So the LCM of the given numbers is 2 x 2 x 4 x 143 = 2288

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2288

Therefore, the GCF of Fractions 6723/16,6726/572 is 3/2288

Least Common Multiple of 16,572 with GCF Formula

Least Common Multiple of 16,572 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 16,572 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,572) = 4

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

GCF(16,572) x common factors =4 x 1 = 4

LCM(16,572) = ( 16 × 572 ) / 4

LCM(16,572) = 9152 / 4

LCM(16,572) = 2288


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 6723/16, 6726/572

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 6723/16, 6726/572?

Answer: GCF of Numerators as per given numbers 6723/16, 6726/572 is

GCF of Numerators i.e. for 6723,6726 is 3

LCM of denominators i.e. for 16,572 is 2288.

Thus, GCF of Fractions is 3/2288.Finally, GCF of Fractions for 6723/16, 6726/572 is 3/2288.