Greatest Common Factor of 204/512, 109/356

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 204/512, 109/356

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 204/512,109/356

Given fractions are 204/512,109/356

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 204,109

Greatest Common Factor of Numerators i.e. GCF of 204,109 is 1 .

LCM of Denominators means LCM of 512,356 as per the given fractions.

LCM of 512,356 is 45568 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 204,109

GCF of Fractions 204/512,109/356 is 1/45568

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

Greatest Common Factor of 204,109 By Matching Biggest Common Factor Method

Greatest Common Factor of 204,109 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 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Greatest Common Factor

We found the factors 204,109 . The biggest common factor number is the GCF number.
So the greatest common factor 204,109 is 1.

Lets's calculate LCM of 512,356

2 512, 356
2 256, 178
128, 89

∴ So the LCM of the given numbers is 2 x 2 x 128 x 89 = 45568

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45568

Therefore, the GCF of Fractions 204/512,109/356 is 1/45568

Least Common Multiple of 512,356 with GCF Formula

Least Common Multiple of 512,356 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 512,356 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(512,356) = 4

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

GCF(512,356) x common factors =4 x 1 = 4

LCM(512,356) = ( 512 × 356 ) / 4

LCM(512,356) = 182272 / 4

LCM(512,356) = 45568


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 204/512, 109/356

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 204/512, 109/356?

Answer: GCF of Numerators as per given numbers 204/512, 109/356 is

GCF of Numerators i.e. for 204,109 is 1

LCM of denominators i.e. for 512,356 is 45568.

Thus, GCF of Fractions is 1/45568.Finally, GCF of Fractions for 204/512, 109/356 is 1/45568.