Greatest Common Factor of 1821/905, 8256/3342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1821/905, 8256/3342

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 1821/905,8256/3342

Given fractions are 1821/905,8256/3342

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 1821,8256

Greatest Common Factor of Numerators i.e. GCF of 1821,8256 is 3 .

LCM of Denominators means LCM of 905,3342 as per the given fractions.

LCM of 905,3342 is 3024510 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1821,8256

GCF of Fractions 1821/905,8256/3342 is 3/3024510

3 1821, 8256
607, 2752

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

Greatest Common Factor of 1821,8256 By Matching Biggest Common Factor Method

Greatest Common Factor of 1821,8256 By Matching Biggest Common Factor Method

Factors of 1821

List of positive integer factors of 1821 that divides 1821 without a remainder.

1,3,607,1821

Factors of 8256

List of positive integer factors of 8256 that divides 8256 without a remainder.

1,2,3,4,6,8,12,16,24,32,43,48,64,86,96,129,172,192,258,344,516,688,1032,1376,2064,2752,4128,8256

Greatest Common Factor

We found the factors 1821,8256 . The biggest common factor number is the GCF number.
So the greatest common factor 1821,8256 is 3.

Lets's calculate LCM of 905,3342

Given numbers has no common factors except 1. So, there LCM is their product i.e 3024510

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3024510

Therefore, the GCF of Fractions 1821/905,8256/3342 is 3/3024510

Least Common Multiple of 905,3342 with GCF Formula

Least Common Multiple of 905,3342 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 905,3342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(905,3342) = 1

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

GCF(905,3342) x common factors =1 x 1 = 1

LCM(905,3342) = ( 905 × 3342 ) / 1

LCM(905,3342) = 3024510 / 1

LCM(905,3342) = 3024510


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 1821/905, 8256/3342

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 1821/905, 8256/3342?

Answer: GCF of Numerators as per given numbers 1821/905, 8256/3342 is

GCF of Numerators i.e. for 1821,8256 is 3

LCM of denominators i.e. for 905,3342 is 3024510.

Thus, GCF of Fractions is 3/3024510.Finally, GCF of Fractions for 1821/905, 8256/3342 is 3/3024510.