Greatest Common Factor of 579/41, 211/28, 717/414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 579/41, 211/28, 717/414

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 579/41,211/28,717/414

Given fractions are 579/41,211/28,717/414

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 579,211,717

Greatest Common Factor of Numerators i.e. GCF of 579,211,717 is 1 .

LCM of Denominators means LCM of 41,28,414 as per the given fractions.

LCM of 41,28,414 is 237636 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 579,211,717

GCF of Fractions 579/41,211/28,717/414 is 1/237636

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

Greatest Common Factor of 579,211,717 By Matching Biggest Common Factor Method

Greatest Common Factor of 579,211,717 By Matching Biggest Common Factor Method

Factors of 579

List of positive integer factors of 579 that divides 579 without a remainder.

1,3,193,579

Factors of 211

List of positive integer factors of 211 that divides 211 without a remainder.

1,211

Factors of 717

List of positive integer factors of 717 that divides 717 without a remainder.

1,3,239,717

Greatest Common Factor

We found the factors 579,211,717 . The biggest common factor number is the GCF number.
So the greatest common factor 579,211,717 is 1.

Lets's calculate LCM of 41,28,414

2 41, 28, 414
41, 14, 207

∴ So the LCM of the given numbers is 2 x 41 x 14 x 207 = 237636

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/237636

Therefore, the GCF of Fractions 579/41,211/28,717/414 is 1/237636

Least Common Multiple of 41,28,414 with GCF Formula

Least Common Multiple of 41,28,414 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 41,28,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,28,414) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(41,28,414) x common factors =1 x 2 = 2

LCM(41,28,414) = ( 41 × 28 × 414 ) / 2

LCM(41,28,414) = 475272 / 2

LCM(41,28,414) = 237636


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 579/41, 211/28, 717/414

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 579/41, 211/28, 717/414?

Answer: GCF of Numerators as per given numbers 579/41, 211/28, 717/414 is

GCF of Numerators i.e. for 579,211,717 is 1

LCM of denominators i.e. for 41,28,414 is 237636.

Thus, GCF of Fractions is 1/237636.Finally, GCF of Fractions for 579/41, 211/28, 717/414 is 1/237636.