Greatest Common Factor of 564/6945, 243/5729

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 564/6945, 243/5729

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 564/6945,243/5729

Given fractions are 564/6945,243/5729

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 564,243

Greatest Common Factor of Numerators i.e. GCF of 564,243 is 3 .

LCM of Denominators means LCM of 6945,5729 as per the given fractions.

LCM of 6945,5729 is 39787905 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 564,243

GCF of Fractions 564/6945,243/5729 is 3/39787905

3 564, 243
188, 81

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

Greatest Common Factor of 564,243 By Matching Biggest Common Factor Method

Greatest Common Factor of 564,243 By Matching Biggest Common Factor Method

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Factors of 243

List of positive integer factors of 243 that divides 243 without a remainder.

1,3,9,27,81,243

Greatest Common Factor

We found the factors 564,243 . The biggest common factor number is the GCF number.
So the greatest common factor 564,243 is 3.

Lets's calculate LCM of 6945,5729

Given numbers has no common factors except 1. So, there LCM is their product i.e 39787905

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/39787905

Therefore, the GCF of Fractions 564/6945,243/5729 is 3/39787905

Least Common Multiple of 6945,5729 with GCF Formula

Least Common Multiple of 6945,5729 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 6945,5729 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6945,5729) = 1

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

GCF(6945,5729) x common factors =1 x 1 = 1

LCM(6945,5729) = ( 6945 × 5729 ) / 1

LCM(6945,5729) = 39787905 / 1

LCM(6945,5729) = 39787905


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 564/6945, 243/5729

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 564/6945, 243/5729?

Answer: GCF of Numerators as per given numbers 564/6945, 243/5729 is

GCF of Numerators i.e. for 564,243 is 3

LCM of denominators i.e. for 6945,5729 is 39787905.

Thus, GCF of Fractions is 3/39787905.Finally, GCF of Fractions for 564/6945, 243/5729 is 3/39787905.