Greatest Common Factor of 206/69, 886/59, 333/519

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 206/69, 886/59, 333/519

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 206/69,886/59,333/519

Given fractions are 206/69,886/59,333/519

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 206,886,333

Greatest Common Factor of Numerators i.e. GCF of 206,886,333 is 1 .

LCM of Denominators means LCM of 69,59,519 as per the given fractions.

LCM of 69,59,519 is 704283 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 206,886,333

GCF of Fractions 206/69,886/59,333/519 is 1/704283

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

Greatest Common Factor of 206,886,333 By Matching Biggest Common Factor Method

Greatest Common Factor of 206,886,333 By Matching Biggest Common Factor Method

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Factors of 886

List of positive integer factors of 886 that divides 886 without a remainder.

1,2,443,886

Factors of 333

List of positive integer factors of 333 that divides 333 without a remainder.

1,3,9,37,111,333

Greatest Common Factor

We found the factors 206,886,333 . The biggest common factor number is the GCF number.
So the greatest common factor 206,886,333 is 1.

Lets's calculate LCM of 69,59,519

3 69, 59, 519
23, 59, 173

∴ So the LCM of the given numbers is 3 x 23 x 59 x 173 = 704283

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/704283

Therefore, the GCF of Fractions 206/69,886/59,333/519 is 1/704283

Least Common Multiple of 69,59,519 with GCF Formula

Least Common Multiple of 69,59,519 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 69,59,519 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,59,519) = 1

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

GCF(69,59,519) x common factors =1 x 3 = 3

LCM(69,59,519) = ( 69 × 59 × 519 ) / 3

LCM(69,59,519) = 2112849 / 3

LCM(69,59,519) = 704283


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 206/69, 886/59, 333/519

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 206/69, 886/59, 333/519?

Answer: GCF of Numerators as per given numbers 206/69, 886/59, 333/519 is

GCF of Numerators i.e. for 206,886,333 is 1

LCM of denominators i.e. for 69,59,519 is 704283.

Thus, GCF of Fractions is 1/704283.Finally, GCF of Fractions for 206/69, 886/59, 333/519 is 1/704283.