Greatest Common Factor of 726/33, 327/78, 486/289

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 726/33, 327/78, 486/289

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 726/33,327/78,486/289

Given fractions are 726/33,327/78,486/289

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 726,327,486

Greatest Common Factor of Numerators i.e. GCF of 726,327,486 is 3 .

LCM of Denominators means LCM of 33,78,289 as per the given fractions.

LCM of 33,78,289 is 247962 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 726,327,486

GCF of Fractions 726/33,327/78,486/289 is 3/247962

3 726, 327, 486
242, 109, 162

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

Greatest Common Factor of 726,327,486 By Matching Biggest Common Factor Method

Greatest Common Factor of 726,327,486 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 327

List of positive integer factors of 327 that divides 327 without a remainder.

1,3,109,327

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486

Greatest Common Factor

We found the factors 726,327,486 . The biggest common factor number is the GCF number.
So the greatest common factor 726,327,486 is 3.

Lets's calculate LCM of 33,78,289

3 33, 78, 289
11, 26, 289

∴ So the LCM of the given numbers is 3 x 11 x 26 x 289 = 247962

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/247962

Therefore, the GCF of Fractions 726/33,327/78,486/289 is 3/247962

Least Common Multiple of 33,78,289 with GCF Formula

Least Common Multiple of 33,78,289 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 33,78,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,78,289) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(33,78,289) x common factors =1 x 3 = 3

LCM(33,78,289) = ( 33 × 78 × 289 ) / 3

LCM(33,78,289) = 743886 / 3

LCM(33,78,289) = 247962


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 726/33, 327/78, 486/289

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 726/33, 327/78, 486/289?

Answer: GCF of Numerators as per given numbers 726/33, 327/78, 486/289 is

GCF of Numerators i.e. for 726,327,486 is 3

LCM of denominators i.e. for 33,78,289 is 247962.

Thus, GCF of Fractions is 3/247962.Finally, GCF of Fractions for 726/33, 327/78, 486/289 is 3/247962.