Greatest Common Factor of 2001/585, 3894/438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2001/585, 3894/438

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 2001/585,3894/438

Given fractions are 2001/585,3894/438

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 2001,3894

Greatest Common Factor of Numerators i.e. GCF of 2001,3894 is 3 .

LCM of Denominators means LCM of 585,438 as per the given fractions.

LCM of 585,438 is 85410 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2001,3894

GCF of Fractions 2001/585,3894/438 is 3/85410

3 2001, 3894
667, 1298

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 2001,3894 By Matching Biggest Common Factor Method

Greatest Common Factor of 2001,3894 By Matching Biggest Common Factor Method

Factors of 2001

List of positive integer factors of 2001 that divides 2001 without a remainder.

1,3,23,29,69,87,667,2001

Factors of 3894

List of positive integer factors of 3894 that divides 3894 without a remainder.

1,2,3,6,11,22,33,59,66,118,177,354,649,1298,1947,3894

Greatest Common Factor

We found the factors 2001,3894 . The biggest common factor number is the GCF number.
So the greatest common factor 2001,3894 is 3.

Lets's calculate LCM of 585,438

3 585, 438
195, 146

∴ So the LCM of the given numbers is 3 x 195 x 146 = 85410

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/85410

Therefore, the GCF of Fractions 2001/585,3894/438 is 3/85410

Least Common Multiple of 585,438 with GCF Formula

Least Common Multiple of 585,438 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 585,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(585,438) = 3

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

GCF(585,438) x common factors =3 x 1 = 3

LCM(585,438) = ( 585 × 438 ) / 3

LCM(585,438) = 256230 / 3

LCM(585,438) = 85410


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 2001/585, 3894/438

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 2001/585, 3894/438?

Answer: GCF of Numerators as per given numbers 2001/585, 3894/438 is

GCF of Numerators i.e. for 2001,3894 is 3

LCM of denominators i.e. for 585,438 is 85410.

Thus, GCF of Fractions is 3/85410.Finally, GCF of Fractions for 2001/585, 3894/438 is 3/85410.