Greatest Common Factor of 729/527, 7215/9238

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 729/527, 7215/9238

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 729/527,7215/9238

Given fractions are 729/527,7215/9238

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 729,7215

Greatest Common Factor of Numerators i.e. GCF of 729,7215 is 3 .

LCM of Denominators means LCM of 527,9238 as per the given fractions.

LCM of 527,9238 is 157046 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 729,7215

GCF of Fractions 729/527,7215/9238 is 3/157046

3 729, 7215
243, 2405

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

Greatest Common Factor of 729,7215 By Matching Biggest Common Factor Method

Greatest Common Factor of 729,7215 By Matching Biggest Common Factor Method

Factors of 729

List of positive integer factors of 729 that divides 729 without a remainder.

1,3,9,27,81,243,729

Factors of 7215

List of positive integer factors of 7215 that divides 7215 without a remainder.

1,3,5,13,15,37,39,65,111,185,195,481,555,1443,2405,7215

Greatest Common Factor

We found the factors 729,7215 . The biggest common factor number is the GCF number.
So the greatest common factor 729,7215 is 3.

Lets's calculate LCM of 527,9238

31 527, 9238
17, 298

∴ So the LCM of the given numbers is 31 x 17 x 298 = 157046

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/157046

Therefore, the GCF of Fractions 729/527,7215/9238 is 3/157046

Least Common Multiple of 527,9238 with GCF Formula

Least Common Multiple of 527,9238 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 527,9238 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(527,9238) = 31

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

GCF(527,9238) x common factors =31 x 1 = 31

LCM(527,9238) = ( 527 × 9238 ) / 31

LCM(527,9238) = 4868426 / 31

LCM(527,9238) = 157046


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 729/527, 7215/9238

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 729/527, 7215/9238?

Answer: GCF of Numerators as per given numbers 729/527, 7215/9238 is

GCF of Numerators i.e. for 729,7215 is 3

LCM of denominators i.e. for 527,9238 is 157046.

Thus, GCF of Fractions is 3/157046.Finally, GCF of Fractions for 729/527, 7215/9238 is 3/157046.