Greatest Common Factor of 1353/201, 4588/168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1353/201, 4588/168

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 1353/201,4588/168

Given fractions are 1353/201,4588/168

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 1353,4588

Greatest Common Factor of Numerators i.e. GCF of 1353,4588 is 1 .

LCM of Denominators means LCM of 201,168 as per the given fractions.

LCM of 201,168 is 11256 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1353,4588

GCF of Fractions 1353/201,4588/168 is 1/11256

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

Greatest Common Factor of 1353,4588 By Matching Biggest Common Factor Method

Greatest Common Factor of 1353,4588 By Matching Biggest Common Factor Method

Factors of 1353

List of positive integer factors of 1353 that divides 1353 without a remainder.

1,3,11,33,41,123,451,1353

Factors of 4588

List of positive integer factors of 4588 that divides 4588 without a remainder.

1,2,4,31,37,62,74,124,148,1147,2294,4588

Greatest Common Factor

We found the factors 1353,4588 . The biggest common factor number is the GCF number.
So the greatest common factor 1353,4588 is 1.

Lets's calculate LCM of 201,168

3 201, 168
67, 56

∴ So the LCM of the given numbers is 3 x 67 x 56 = 11256

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11256

Therefore, the GCF of Fractions 1353/201,4588/168 is 1/11256

Least Common Multiple of 201,168 with GCF Formula

Least Common Multiple of 201,168 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 201,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(201,168) = 3

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

GCF(201,168) x common factors =3 x 1 = 3

LCM(201,168) = ( 201 × 168 ) / 3

LCM(201,168) = 33768 / 3

LCM(201,168) = 11256


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 1353/201, 4588/168

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 1353/201, 4588/168?

Answer: GCF of Numerators as per given numbers 1353/201, 4588/168 is

GCF of Numerators i.e. for 1353,4588 is 1

LCM of denominators i.e. for 201,168 is 11256.

Thus, GCF of Fractions is 1/11256.Finally, GCF of Fractions for 1353/201, 4588/168 is 1/11256.