Greatest Common Factor of 8943/45, 2040/469

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8943/45, 2040/469

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 8943/45,2040/469

Given fractions are 8943/45,2040/469

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 8943,2040

Greatest Common Factor of Numerators i.e. GCF of 8943,2040 is 3 .

LCM of Denominators means LCM of 45,469 as per the given fractions.

LCM of 45,469 is 21105 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8943,2040

GCF of Fractions 8943/45,2040/469 is 3/21105

3 8943, 2040
2981, 680

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

Greatest Common Factor of 8943,2040 By Matching Biggest Common Factor Method

Greatest Common Factor of 8943,2040 By Matching Biggest Common Factor Method

Factors of 8943

List of positive integer factors of 8943 that divides 8943 without a remainder.

1,3,11,33,271,813,2981,8943

Factors of 2040

List of positive integer factors of 2040 that divides 2040 without a remainder.

1,2,3,4,5,6,8,10,12,15,17,20,24,30,34,40,51,60,68,85,102,120,136,170,204,255,340,408,510,680,1020,2040

Greatest Common Factor

We found the factors 8943,2040 . The biggest common factor number is the GCF number.
So the greatest common factor 8943,2040 is 3.

Lets's calculate LCM of 45,469

Given numbers has no common factors except 1. So, there LCM is their product i.e 21105

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/21105

Therefore, the GCF of Fractions 8943/45,2040/469 is 3/21105

Least Common Multiple of 45,469 with GCF Formula

Least Common Multiple of 45,469 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 45,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,469) = 1

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

GCF(45,469) x common factors =1 x 1 = 1

LCM(45,469) = ( 45 × 469 ) / 1

LCM(45,469) = 21105 / 1

LCM(45,469) = 21105


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 8943/45, 2040/469

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 8943/45, 2040/469?

Answer: GCF of Numerators as per given numbers 8943/45, 2040/469 is

GCF of Numerators i.e. for 8943,2040 is 3

LCM of denominators i.e. for 45,469 is 21105.

Thus, GCF of Fractions is 3/21105.Finally, GCF of Fractions for 8943/45, 2040/469 is 3/21105.