Greatest Common Factor of 337/578, 5915/279

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 337/578, 5915/279

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 337/578,5915/279

Given fractions are 337/578,5915/279

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 337,5915

Greatest Common Factor of Numerators i.e. GCF of 337,5915 is 1 .

LCM of Denominators means LCM of 578,279 as per the given fractions.

LCM of 578,279 is 161262 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 337,5915

GCF of Fractions 337/578,5915/279 is 1/161262

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

Greatest Common Factor of 337,5915 By Matching Biggest Common Factor Method

Greatest Common Factor of 337,5915 By Matching Biggest Common Factor Method

Factors of 337

List of positive integer factors of 337 that divides 337 without a remainder.

1,337

Factors of 5915

List of positive integer factors of 5915 that divides 5915 without a remainder.

1,5,7,13,35,65,91,169,455,845,1183,5915

Greatest Common Factor

We found the factors 337,5915 . The biggest common factor number is the GCF number.
So the greatest common factor 337,5915 is 1.

Lets's calculate LCM of 578,279

Given numbers has no common factors except 1. So, there LCM is their product i.e 161262

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/161262

Therefore, the GCF of Fractions 337/578,5915/279 is 1/161262

Least Common Multiple of 578,279 with GCF Formula

Least Common Multiple of 578,279 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 578,279 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(578,279) = 1

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

GCF(578,279) x common factors =1 x 1 = 1

LCM(578,279) = ( 578 × 279 ) / 1

LCM(578,279) = 161262 / 1

LCM(578,279) = 161262


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 337/578, 5915/279

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 337/578, 5915/279?

Answer: GCF of Numerators as per given numbers 337/578, 5915/279 is

GCF of Numerators i.e. for 337,5915 is 1

LCM of denominators i.e. for 578,279 is 161262.

Thus, GCF of Fractions is 1/161262.Finally, GCF of Fractions for 337/578, 5915/279 is 1/161262.