GCD of 206, 891, 21, 660 Calculator

Given Input numbers are 206, 891, 21, 660

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 206

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

1, 2, 103, 206

Divisors of 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Greatest Common Divisior

We found the divisors of 206, 891, 21, 660 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 206, 891, 21, 660 is 1.

Therefore, GCD of numbers 206, 891, 21, 660 is 1

Given Input Data is 206, 891, 21, 660

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 206 is 2 x 103

Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11

Prime Factorization of 21 is 3 x 7

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(206, 891) = 183546

GCD(206, 891) = ( 206 x 891 ) / 183546

GCD(206, 891) = 183546 / 183546

GCD(206, 891) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 660

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 660) = 660

GCD(1, 660) = ( 1 x 660 ) / 660

GCD(1, 660) = 660 / 660

GCD(1, 660) = 1

GCD of 206, 891, 21, 660 is 1

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1. What is the GCD of 206, 891, 21, 660?

GCD of 206, 891, 21, 660 is 1

2. Where do I get the detailed procedure to find GCD of 206, 891, 21, 660?

You can find a detailed procedure to find GCD of 206, 891, 21, 660 on our page.

3. How to find GCD of 206, 891, 21, 660 on a calculator?

You can find the GCD of 206, 891, 21, 660 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.