Greatest Common Factor of 674/479, 5729/738

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 674/479, 5729/738

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 674/479,5729/738

Given fractions are 674/479,5729/738

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 674,5729

Greatest Common Factor of Numerators i.e. GCF of 674,5729 is 337 .

LCM of Denominators means LCM of 479,738 as per the given fractions.

LCM of 479,738 is 353502 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 674,5729

GCF of Fractions 674/479,5729/738 is 337/353502

337 674, 5729
2, 17

∴ So the GCF of the given numbers is 337 = 337

Greatest Common Factor of 674,5729 By Matching Biggest Common Factor Method

Greatest Common Factor of 674,5729 By Matching Biggest Common Factor Method

Factors of 674

List of positive integer factors of 674 that divides 674 without a remainder.

1,2,337,674

Factors of 5729

List of positive integer factors of 5729 that divides 5729 without a remainder.

1,17,337,5729

Greatest Common Factor

We found the factors 674,5729 . The biggest common factor number is the GCF number.
So the greatest common factor 674,5729 is 337.

Lets's calculate LCM of 479,738

Given numbers has no common factors except 1. So, there LCM is their product i.e 353502

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 337/353502

Therefore, the GCF of Fractions 674/479,5729/738 is 337/353502

Least Common Multiple of 479,738 with GCF Formula

Least Common Multiple of 479,738 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 479,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(479,738) = 1

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

GCF(479,738) x common factors =1 x 1 = 1

LCM(479,738) = ( 479 × 738 ) / 1

LCM(479,738) = 353502 / 1

LCM(479,738) = 353502


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 674/479, 5729/738

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 674/479, 5729/738?

Answer: GCF of Numerators as per given numbers 674/479, 5729/738 is

GCF of Numerators i.e. for 674,5729 is 337

LCM of denominators i.e. for 479,738 is 353502.

Thus, GCF of Fractions is 337/353502.Finally, GCF of Fractions for 674/479, 5729/738 is 337/353502.