Greatest Common Factor of 108/209, 1818/8221

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 108/209, 1818/8221

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 108/209,1818/8221

Given fractions are 108/209,1818/8221

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 108,1818

Greatest Common Factor of Numerators i.e. GCF of 108,1818 is 18 .

LCM of Denominators means LCM of 209,8221 as per the given fractions.

LCM of 209,8221 is 1718189 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 108,1818

GCF of Fractions 108/209,1818/8221 is 18/1718189

2 108, 1818
3 54, 909
3 18, 303
6, 101

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Greatest Common Factor of 108,1818 By Matching Biggest Common Factor Method

Greatest Common Factor of 108,1818 By Matching Biggest Common Factor Method

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Factors of 1818

List of positive integer factors of 1818 that divides 1818 without a remainder.

1,2,3,6,9,18,101,202,303,606,909,1818

Greatest Common Factor

We found the factors 108,1818 . The biggest common factor number is the GCF number.
So the greatest common factor 108,1818 is 18.

Lets's calculate LCM of 209,8221

Given numbers has no common factors except 1. So, there LCM is their product i.e 1718189

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/1718189

Therefore, the GCF of Fractions 108/209,1818/8221 is 18/1718189

Least Common Multiple of 209,8221 with GCF Formula

Least Common Multiple of 209,8221 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 209,8221 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(209,8221) = 1

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

GCF(209,8221) x common factors =1 x 1 = 1

LCM(209,8221) = ( 209 × 8221 ) / 1

LCM(209,8221) = 1718189 / 1

LCM(209,8221) = 1718189


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 108/209, 1818/8221

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 108/209, 1818/8221?

Answer: GCF of Numerators as per given numbers 108/209, 1818/8221 is

GCF of Numerators i.e. for 108,1818 is 18

LCM of denominators i.e. for 209,8221 is 1718189.

Thus, GCF of Fractions is 18/1718189.Finally, GCF of Fractions for 108/209, 1818/8221 is 18/1718189.