Greatest Common Factor of 793/29, 729/73, 523/273

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 793/29, 729/73, 523/273

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 793/29,729/73,523/273

Given fractions are 793/29,729/73,523/273

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 793,729,523

Greatest Common Factor of Numerators i.e. GCF of 793,729,523 is 1 .

LCM of Denominators means LCM of 29,73,273 as per the given fractions.

LCM of 29,73,273 is 577941 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 793,729,523

GCF of Fractions 793/29,729/73,523/273 is 1/577941

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 793,729,523 By Matching Biggest Common Factor Method

Greatest Common Factor of 793,729,523 By Matching Biggest Common Factor Method

Factors of 793

List of positive integer factors of 793 that divides 793 without a remainder.

1,13,61,793

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 523

List of positive integer factors of 523 that divides 523 without a remainder.

1,523

Greatest Common Factor

We found the factors 793,729,523 . The biggest common factor number is the GCF number.
So the greatest common factor 793,729,523 is 1.

Lets's calculate LCM of 29,73,273

Given numbers has no common factors except 1. So, there LCM is their product i.e 577941

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/577941

Therefore, the GCF of Fractions 793/29,729/73,523/273 is 1/577941

Least Common Multiple of 29,73,273 with GCF Formula

Least Common Multiple of 29,73,273 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 29,73,273 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,73,273) = 1

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

GCF(29,73,273) x common factors =1 x 1 = 1

LCM(29,73,273) = ( 29 × 73 × 273 ) / 1

LCM(29,73,273) = 577941 / 1

LCM(29,73,273) = 577941


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 793/29, 729/73, 523/273

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 793/29, 729/73, 523/273?

Answer: GCF of Numerators as per given numbers 793/29, 729/73, 523/273 is

GCF of Numerators i.e. for 793,729,523 is 1

LCM of denominators i.e. for 29,73,273 is 577941.

Thus, GCF of Fractions is 1/577941.Finally, GCF of Fractions for 793/29, 729/73, 523/273 is 1/577941.