Greatest Common Factor of 200/666, 206/561

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 200/666, 206/561

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 200/666,206/561

Given fractions are 200/666,206/561

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 200,206

Greatest Common Factor of Numerators i.e. GCF of 200,206 is 2 .

LCM of Denominators means LCM of 666,561 as per the given fractions.

LCM of 666,561 is 124542 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 200,206

GCF of Fractions 200/666,206/561 is 2/124542

2 200, 206
100, 103

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 200,206 By Matching Biggest Common Factor Method

Greatest Common Factor of 200,206 By Matching Biggest Common Factor Method

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Factors of 206

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

1,2,103,206

Greatest Common Factor

We found the factors 200,206 . The biggest common factor number is the GCF number.
So the greatest common factor 200,206 is 2.

Lets's calculate LCM of 666,561

3 666, 561
222, 187

∴ So the LCM of the given numbers is 3 x 222 x 187 = 124542

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/124542

Therefore, the GCF of Fractions 200/666,206/561 is 2/124542

Least Common Multiple of 666,561 with GCF Formula

Least Common Multiple of 666,561 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 666,561 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(666,561) = 3

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

GCF(666,561) x common factors =3 x 1 = 3

LCM(666,561) = ( 666 × 561 ) / 3

LCM(666,561) = 373626 / 3

LCM(666,561) = 124542


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 200/666, 206/561

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 200/666, 206/561?

Answer: GCF of Numerators as per given numbers 200/666, 206/561 is

GCF of Numerators i.e. for 200,206 is 2

LCM of denominators i.e. for 666,561 is 124542.

Thus, GCF of Fractions is 2/124542.Finally, GCF of Fractions for 200/666, 206/561 is 2/124542.