GCD of 643, 667, 27, 213 Calculator

Given Input numbers are 643, 667, 27, 213

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

Divisors of 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

Divisors of 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Greatest Common Divisior

We found the divisors of 643, 667, 27, 213 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 643, 667, 27, 213 is 1.

Therefore, GCD of numbers 643, 667, 27, 213 is 1

Given Input Data is 643, 667, 27, 213

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

Prime Factorization of 643 is 643

Prime Factorization of 667 is 23 x 29

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 213 is 3 x 71

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(643, 667) = 428881

GCD(643, 667) = ( 643 x 667 ) / 428881

GCD(643, 667) = 428881 / 428881

GCD(643, 667) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 27

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

LCM(1, 27) = 27

GCD(1, 27) = ( 1 x 27 ) / 27

GCD(1, 27) = 27 / 27

GCD(1, 27) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 213

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

LCM(1, 213) = 213

GCD(1, 213) = ( 1 x 213 ) / 213

GCD(1, 213) = 213 / 213

GCD(1, 213) = 1

GCD of 643, 667, 27, 213 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 364, 612, 69, 712
• GCD of 301, 360, 44, 620
• GCD of 364, 576, 27, 662
• GCD of 279, 622, 93, 477
• GCD of 146, 447, 11, 891

1. What is the GCD of 643, 667, 27, 213?

GCD of 643, 667, 27, 213 is 1

2. Where do I get the detailed procedure to find GCD of 643, 667, 27, 213?

You can find a detailed procedure to find GCD of 643, 667, 27, 213 on our page.

3. How to find GCD of 643, 667, 27, 213 on a calculator?

You can find the GCD of 643, 667, 27, 213 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.