Greatest Common Factor of 204/29, 514/52, 613/217

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 204/29, 514/52, 613/217

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 204/29,514/52,613/217

Given fractions are 204/29,514/52,613/217

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 204,514,613

Greatest Common Factor of Numerators i.e. GCF of 204,514,613 is 1 .

LCM of Denominators means LCM of 29,52,217 as per the given fractions.

LCM of 29,52,217 is 327236 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 204,514,613

GCF of Fractions 204/29,514/52,613/217 is 1/327236

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

Greatest Common Factor of 204,514,613 By Matching Biggest Common Factor Method

Greatest Common Factor of 204,514,613 By Matching Biggest Common Factor Method

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Factors of 613

List of positive integer factors of 613 that divides 613 without a remainder.

1,613

Greatest Common Factor

We found the factors 204,514,613 . The biggest common factor number is the GCF number.
So the greatest common factor 204,514,613 is 1.

Lets's calculate LCM of 29,52,217

Given numbers has no common factors except 1. So, there LCM is their product i.e 327236

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/327236

Therefore, the GCF of Fractions 204/29,514/52,613/217 is 1/327236

Least Common Multiple of 29,52,217 with GCF Formula

Least Common Multiple of 29,52,217 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 29,52,217 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,52,217) = 1

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

GCF(29,52,217) x common factors =1 x 1 = 1

LCM(29,52,217) = ( 29 × 52 × 217 ) / 1

LCM(29,52,217) = 327236 / 1

LCM(29,52,217) = 327236


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 204/29, 514/52, 613/217

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 204/29, 514/52, 613/217?

Answer: GCF of Numerators as per given numbers 204/29, 514/52, 613/217 is

GCF of Numerators i.e. for 204,514,613 is 1

LCM of denominators i.e. for 29,52,217 is 327236.

Thus, GCF of Fractions is 1/327236.Finally, GCF of Fractions for 204/29, 514/52, 613/217 is 1/327236.