Greatest Common Factor of 576/35, 729/79, 717/610

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 576/35, 729/79, 717/610

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 576/35,729/79,717/610

Given fractions are 576/35,729/79,717/610

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 576,729,717

Greatest Common Factor of Numerators i.e. GCF of 576,729,717 is 3 .

LCM of Denominators means LCM of 35,79,610 as per the given fractions.

LCM of 35,79,610 is 337330 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 576,729,717

GCF of Fractions 576/35,729/79,717/610 is 3/337330

3 576, 729, 717
192, 243, 239

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

Greatest Common Factor of 576,729,717 By Matching Biggest Common Factor Method

Greatest Common Factor of 576,729,717 By Matching Biggest Common Factor Method

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

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 717

List of positive integer factors of 717 that divides 717 without a remainder.

1,3,239,717

Greatest Common Factor

We found the factors 576,729,717 . The biggest common factor number is the GCF number.
So the greatest common factor 576,729,717 is 3.

Lets's calculate LCM of 35,79,610

5 35, 79, 610
7, 79, 122

∴ So the LCM of the given numbers is 5 x 7 x 79 x 122 = 337330

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/337330

Therefore, the GCF of Fractions 576/35,729/79,717/610 is 3/337330

Least Common Multiple of 35,79,610 with GCF Formula

Least Common Multiple of 35,79,610 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 35,79,610 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,79,610) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(35,79,610) x common factors =1 x 5 = 5

LCM(35,79,610) = ( 35 × 79 × 610 ) / 5

LCM(35,79,610) = 1686650 / 5

LCM(35,79,610) = 337330


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 576/35, 729/79, 717/610

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 576/35, 729/79, 717/610?

Answer: GCF of Numerators as per given numbers 576/35, 729/79, 717/610 is

GCF of Numerators i.e. for 576,729,717 is 3

LCM of denominators i.e. for 35,79,610 is 337330.

Thus, GCF of Fractions is 3/337330.Finally, GCF of Fractions for 576/35, 729/79, 717/610 is 3/337330.