Greatest Common Factor of 4809/447, 9060/843

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 4809/447, 9060/843

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 4809/447,9060/843

Given fractions are 4809/447,9060/843

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 4809,9060

Greatest Common Factor of Numerators i.e. GCF of 4809,9060 is 3 .

LCM of Denominators means LCM of 447,843 as per the given fractions.

LCM of 447,843 is 125607 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4809,9060

GCF of Fractions 4809/447,9060/843 is 3/125607

3 4809, 9060
1603, 3020

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

Greatest Common Factor of 4809,9060 By Matching Biggest Common Factor Method

Greatest Common Factor of 4809,9060 By Matching Biggest Common Factor Method

Factors of 4809

List of positive integer factors of 4809 that divides 4809 without a remainder.

1,3,7,21,229,687,1603,4809

Factors of 9060

List of positive integer factors of 9060 that divides 9060 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,151,302,453,604,755,906,1510,1812,2265,3020,4530,9060

Greatest Common Factor

We found the factors 4809,9060 . The biggest common factor number is the GCF number.
So the greatest common factor 4809,9060 is 3.


Lets's calculate LCM of 447,843

3 447, 843
149, 281

∴ So the LCM of the given numbers is 3 x 149 x 281 = 125607

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/125607

Therefore, the GCF of Fractions 4809/447,9060/843 is 3/125607

Least Common Multiple of 447,843 with GCF Formula

Least Common Multiple of 447,843 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 447,843 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(447,843) = 3

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

GCF(447,843) x common factors =3 x 1 = 3

LCM(447,843) = ( 447 × 843 ) / 3

LCM(447,843) = 376821 / 3

LCM(447,843) = 125607


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 4809/447, 9060/843

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 4809/447, 9060/843?

Answer: GCF of Numerators as per given numbers 4809/447, 9060/843 is

GCF of Numerators i.e. for 4809,9060 is 3

LCM of denominators i.e. for 447,843 is 125607.

Thus, GCF of Fractions is 3/125607.Finally, GCF of Fractions for 4809/447, 9060/843 is 3/125607.