Greatest Common Factor of 208/81, 354/69, 303/209

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 208/81, 354/69, 303/209

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 208/81,354/69,303/209

Given fractions are 208/81,354/69,303/209

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 208,354,303

Greatest Common Factor of Numerators i.e. GCF of 208,354,303 is 1 .

LCM of Denominators means LCM of 81,69,209 as per the given fractions.

LCM of 81,69,209 is 389367 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 208,354,303

GCF of Fractions 208/81,354/69,303/209 is 1/389367

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

Greatest Common Factor of 208,354,303 By Matching Biggest Common Factor Method

Greatest Common Factor of 208,354,303 By Matching Biggest Common Factor Method

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Factors of 303

List of positive integer factors of 303 that divides 303 without a remainder.

1,3,101,303

Greatest Common Factor

We found the factors 208,354,303 . The biggest common factor number is the GCF number.
So the greatest common factor 208,354,303 is 1.

Lets's calculate LCM of 81,69,209

3 81, 69, 209
27, 23, 209

∴ So the LCM of the given numbers is 3 x 27 x 23 x 209 = 389367

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/389367

Therefore, the GCF of Fractions 208/81,354/69,303/209 is 1/389367

Least Common Multiple of 81,69,209 with GCF Formula

Least Common Multiple of 81,69,209 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 81,69,209 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,69,209) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(81,69,209) x common factors =1 x 3 = 3

LCM(81,69,209) = ( 81 × 69 × 209 ) / 3

LCM(81,69,209) = 1168101 / 3

LCM(81,69,209) = 389367


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 208/81, 354/69, 303/209

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 208/81, 354/69, 303/209?

Answer: GCF of Numerators as per given numbers 208/81, 354/69, 303/209 is

GCF of Numerators i.e. for 208,354,303 is 1

LCM of denominators i.e. for 81,69,209 is 389367.

Thus, GCF of Fractions is 1/389367.Finally, GCF of Fractions for 208/81, 354/69, 303/209 is 1/389367.