Greatest Common Factor of 204/53, 144/4259

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 204/53, 144/4259

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 204/53,144/4259

Given fractions are 204/53,144/4259

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 204,144

Greatest Common Factor of Numerators i.e. GCF of 204,144 is 12 .

LCM of Denominators means LCM of 53,4259 as per the given fractions.

LCM of 53,4259 is 225727 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 204,144

GCF of Fractions 204/53,144/4259 is 12/225727

2 204, 144
2 102, 72
3 51, 36
17, 12

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 204,144 By Matching Biggest Common Factor Method

Greatest Common Factor of 204,144 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 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Greatest Common Factor

We found the factors 204,144 . The biggest common factor number is the GCF number.
So the greatest common factor 204,144 is 12.

Lets's calculate LCM of 53,4259

Given numbers has no common factors except 1. So, there LCM is their product i.e 225727

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/225727

Therefore, the GCF of Fractions 204/53,144/4259 is 12/225727

Least Common Multiple of 53,4259 with GCF Formula

Least Common Multiple of 53,4259 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 53,4259 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,4259) = 1

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

GCF(53,4259) x common factors =1 x 1 = 1

LCM(53,4259) = ( 53 × 4259 ) / 1

LCM(53,4259) = 225727 / 1

LCM(53,4259) = 225727


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 204/53, 144/4259

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 204/53, 144/4259?

Answer: GCF of Numerators as per given numbers 204/53, 144/4259 is

GCF of Numerators i.e. for 204,144 is 12

LCM of denominators i.e. for 53,4259 is 225727.

Thus, GCF of Fractions is 12/225727.Finally, GCF of Fractions for 204/53, 144/4259 is 12/225727.