Greatest Common Factor of 726/857, 300/717, 729/938

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 726/857, 300/717, 729/938

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 726/857,300/717,729/938

Given fractions are 726/857,300/717,729/938

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 726,300,729

Greatest Common Factor of Numerators i.e. GCF of 726,300,729 is 3 .

LCM of Denominators means LCM of 857,717,938 as per the given fractions.

LCM of 857,717,938 is 576371922 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 726,300,729

GCF of Fractions 726/857,300/717,729/938 is 3/576371922

3 726, 300, 729
242, 100, 243

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

Greatest Common Factor of 726,300,729 By Matching Biggest Common Factor Method

Greatest Common Factor of 726,300,729 By Matching Biggest Common Factor Method

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Factors of 729

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

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

Greatest Common Factor

We found the factors 726,300,729 . The biggest common factor number is the GCF number.
So the greatest common factor 726,300,729 is 3.

Lets's calculate LCM of 857,717,938

Given numbers has no common factors except 1. So, there LCM is their product i.e 576371922

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/576371922

Therefore, the GCF of Fractions 726/857,300/717,729/938 is 3/576371922

Least Common Multiple of 857,717,938 with GCF Formula

Least Common Multiple of 857,717,938 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 857,717,938 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(857,717,938) = 1

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

GCF(857,717,938) x common factors =1 x 1 = 1

LCM(857,717,938) = ( 857 × 717 × 938 ) / 1

LCM(857,717,938) = 576371922 / 1

LCM(857,717,938) = 576371922


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 726/857, 300/717, 729/938

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 726/857, 300/717, 729/938?

Answer: GCF of Numerators as per given numbers 726/857, 300/717, 729/938 is

GCF of Numerators i.e. for 726,300,729 is 3

LCM of denominators i.e. for 857,717,938 is 576371922.

Thus, GCF of Fractions is 3/576371922.Finally, GCF of Fractions for 726/857, 300/717, 729/938 is 3/576371922.