Greatest Common Factor of 413/27, 102/579

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 413/27, 102/579

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 413/27,102/579

Given fractions are 413/27,102/579

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 413,102

Greatest Common Factor of Numerators i.e. GCF of 413,102 is 1 .

LCM of Denominators means LCM of 27,579 as per the given fractions.

LCM of 27,579 is 5211 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 413,102

GCF of Fractions 413/27,102/579 is 1/5211

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

Greatest Common Factor of 413,102 By Matching Biggest Common Factor Method

Greatest Common Factor of 413,102 By Matching Biggest Common Factor Method

Factors of 413

List of positive integer factors of 413 that divides 413 without a remainder.

1,7,59,413

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

Greatest Common Factor

We found the factors 413,102 . The biggest common factor number is the GCF number.
So the greatest common factor 413,102 is 1.

Lets's calculate LCM of 27,579

3 27, 579
9, 193

∴ So the LCM of the given numbers is 3 x 9 x 193 = 5211

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5211

Therefore, the GCF of Fractions 413/27,102/579 is 1/5211

Least Common Multiple of 27,579 with GCF Formula

Least Common Multiple of 27,579 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 27,579 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,579) = 3

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

GCF(27,579) x common factors =3 x 1 = 3

LCM(27,579) = ( 27 × 579 ) / 3

LCM(27,579) = 15633 / 3

LCM(27,579) = 5211


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 413/27, 102/579

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 413/27, 102/579?

Answer: GCF of Numerators as per given numbers 413/27, 102/579 is

GCF of Numerators i.e. for 413,102 is 1

LCM of denominators i.e. for 27,579 is 5211.

Thus, GCF of Fractions is 1/5211.Finally, GCF of Fractions for 413/27, 102/579 is 1/5211.