Greatest Common Factor of 575/219, 2009/417

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 575/219, 2009/417

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 575/219,2009/417

Given fractions are 575/219,2009/417

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 575,2009

Greatest Common Factor of Numerators i.e. GCF of 575,2009 is 1 .

LCM of Denominators means LCM of 219,417 as per the given fractions.

LCM of 219,417 is 30441 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 575,2009

GCF of Fractions 575/219,2009/417 is 1/30441

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

Greatest Common Factor of 575,2009 By Matching Biggest Common Factor Method

Greatest Common Factor of 575,2009 By Matching Biggest Common Factor Method

Factors of 575

List of positive integer factors of 575 that divides 575 without a remainder.

1,5,23,25,115,575

Factors of 2009

List of positive integer factors of 2009 that divides 2009 without a remainder.

1,7,41,49,287,2009

Greatest Common Factor

We found the factors 575,2009 . The biggest common factor number is the GCF number.
So the greatest common factor 575,2009 is 1.

Lets's calculate LCM of 219,417

3 219, 417
73, 139

∴ So the LCM of the given numbers is 3 x 73 x 139 = 30441

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30441

Therefore, the GCF of Fractions 575/219,2009/417 is 1/30441

Least Common Multiple of 219,417 with GCF Formula

Least Common Multiple of 219,417 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 219,417 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(219,417) = 3

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

GCF(219,417) x common factors =3 x 1 = 3

LCM(219,417) = ( 219 × 417 ) / 3

LCM(219,417) = 91323 / 3

LCM(219,417) = 30441


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 575/219, 2009/417

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 575/219, 2009/417?

Answer: GCF of Numerators as per given numbers 575/219, 2009/417 is

GCF of Numerators i.e. for 575,2009 is 1

LCM of denominators i.e. for 219,417 is 30441.

Thus, GCF of Fractions is 1/30441.Finally, GCF of Fractions for 575/219, 2009/417 is 1/30441.