Greatest Common Factor of 482/27, 406/8904

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 482/27, 406/8904

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 482/27,406/8904

Given fractions are 482/27,406/8904

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 482,406

Greatest Common Factor of Numerators i.e. GCF of 482,406 is 2 .

LCM of Denominators means LCM of 27,8904 as per the given fractions.

LCM of 27,8904 is 80136 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 482,406

GCF of Fractions 482/27,406/8904 is 2/80136

2 482, 406
241, 203

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 482,406 By Matching Biggest Common Factor Method

Greatest Common Factor of 482,406 By Matching Biggest Common Factor Method

Factors of 482

List of positive integer factors of 482 that divides 482 without a remainder.

1,2,241,482

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

Greatest Common Factor

We found the factors 482,406 . The biggest common factor number is the GCF number.
So the greatest common factor 482,406 is 2.


Lets's calculate LCM of 27,8904

3 27, 8904
9, 2968

∴ So the LCM of the given numbers is 3 x 9 x 2968 = 80136

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/80136

Therefore, the GCF of Fractions 482/27,406/8904 is 2/80136

Least Common Multiple of 27,8904 with GCF Formula

Least Common Multiple of 27,8904 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 27,8904 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,8904) = 3

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

GCF(27,8904) x common factors =3 x 1 = 3

LCM(27,8904) = ( 27 × 8904 ) / 3

LCM(27,8904) = 240408 / 3

LCM(27,8904) = 80136


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 482/27, 406/8904

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 482/27, 406/8904?

Answer: GCF of Numerators as per given numbers 482/27, 406/8904 is

GCF of Numerators i.e. for 482,406 is 2

LCM of denominators i.e. for 27,8904 is 80136.

Thus, GCF of Fractions is 2/80136.Finally, GCF of Fractions for 482/27, 406/8904 is 2/80136.