Greatest Common Factor of 726/79, 645/23, 819/80

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 726/79, 645/23, 819/80

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 726/79,645/23,819/80

Given fractions are 726/79,645/23,819/80

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 726,645,819

Greatest Common Factor of Numerators i.e. GCF of 726,645,819 is 3 .

LCM of Denominators means LCM of 79,23,80 as per the given fractions.

LCM of 79,23,80 is 145360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 726,645,819

GCF of Fractions 726/79,645/23,819/80 is 3/145360

3 726, 645, 819
242, 215, 273

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

Greatest Common Factor of 726,645,819 By Matching Biggest Common Factor Method

Greatest Common Factor of 726,645,819 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 645

List of positive integer factors of 645 that divides 645 without a remainder.

1,3,5,15,43,129,215,645

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Greatest Common Factor

We found the factors 726,645,819 . The biggest common factor number is the GCF number.
So the greatest common factor 726,645,819 is 3.

Lets's calculate LCM of 79,23,80

Given numbers has no common factors except 1. So, there LCM is their product i.e 145360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/145360

Therefore, the GCF of Fractions 726/79,645/23,819/80 is 3/145360

Least Common Multiple of 79,23,80 with GCF Formula

Least Common Multiple of 79,23,80 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 79,23,80 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,23,80) = 1

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

GCF(79,23,80) x common factors =1 x 1 = 1

LCM(79,23,80) = ( 79 × 23 × 80 ) / 1

LCM(79,23,80) = 145360 / 1

LCM(79,23,80) = 145360


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 726/79, 645/23, 819/80

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 726/79, 645/23, 819/80?

Answer: GCF of Numerators as per given numbers 726/79, 645/23, 819/80 is

GCF of Numerators i.e. for 726,645,819 is 3

LCM of denominators i.e. for 79,23,80 is 145360.

Thus, GCF of Fractions is 3/145360.Finally, GCF of Fractions for 726/79, 645/23, 819/80 is 3/145360.