Greatest Common Factor of 2013/210, 8219/324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2013/210, 8219/324

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 2013/210,8219/324

Given fractions are 2013/210,8219/324

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 2013,8219

Greatest Common Factor of Numerators i.e. GCF of 2013,8219 is 1 .

LCM of Denominators means LCM of 210,324 as per the given fractions.

LCM of 210,324 is 11340 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2013,8219

GCF of Fractions 2013/210,8219/324 is 1/11340

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 2013,8219 By Matching Biggest Common Factor Method

Greatest Common Factor of 2013,8219 By Matching Biggest Common Factor Method

Factors of 2013

List of positive integer factors of 2013 that divides 2013 without a remainder.

1,3,11,33,61,183,671,2013

Factors of 8219

List of positive integer factors of 8219 that divides 8219 without a remainder.

1,8219

Greatest Common Factor

We found the factors 2013,8219 . The biggest common factor number is the GCF number.
So the greatest common factor 2013,8219 is 1.

Lets's calculate LCM of 210,324

2 210, 324
3 105, 162
35, 54

∴ So the LCM of the given numbers is 2 x 3 x 35 x 54 = 11340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11340

Therefore, the GCF of Fractions 2013/210,8219/324 is 1/11340

Least Common Multiple of 210,324 with GCF Formula

Least Common Multiple of 210,324 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 210,324 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(210,324) = 6

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

GCF(210,324) x common factors =6 x 1 = 6

LCM(210,324) = ( 210 × 324 ) / 6

LCM(210,324) = 68040 / 6

LCM(210,324) = 11340


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 2013/210, 8219/324

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 2013/210, 8219/324?

Answer: GCF of Numerators as per given numbers 2013/210, 8219/324 is

GCF of Numerators i.e. for 2013,8219 is 1

LCM of denominators i.e. for 210,324 is 11340.

Thus, GCF of Fractions is 1/11340.Finally, GCF of Fractions for 2013/210, 8219/324 is 1/11340.