GCD of 13, 649, 667, 589 Calculator

Given Input numbers are 13, 649, 667, 589

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

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Divisors of 667

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

1, 23, 29, 667

Divisors of 589

List of positive integer divisors of 589 that divides 589 without a remainder.

1, 19, 31, 589

Greatest Common Divisior

We found the divisors of 13, 649, 667, 589 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 13, 649, 667, 589 is 1.

Therefore, GCD of numbers 13, 649, 667, 589 is 1

Given Input Data is 13, 649, 667, 589

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

Prime Factorization of 13 is 13

Prime Factorization of 649 is 11 x 59

Prime Factorization of 667 is 23 x 29

Prime Factorization of 589 is 19 x 31

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(13, 649) = 8437

GCD(13, 649) = ( 13 x 649 ) / 8437

GCD(13, 649) = 8437 / 8437

GCD(13, 649) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 667

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

LCM(1, 667) = 667

GCD(1, 667) = ( 1 x 667 ) / 667

GCD(1, 667) = 667 / 667

GCD(1, 667) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 589

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

LCM(1, 589) = 589

GCD(1, 589) = ( 1 x 589 ) / 589

GCD(1, 589) = 589 / 589

GCD(1, 589) = 1

GCD of 13, 649, 667, 589 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 13, 342, 128, 222
• GCD of 22, 330, 244, 386
• GCD of 99, 914, 437, 951
• GCD of 91, 773, 746, 240
• GCD of 64, 383, 523, 917

1. What is the GCD of 13, 649, 667, 589?

GCD of 13, 649, 667, 589 is 1

2. Where do I get the detailed procedure to find GCD of 13, 649, 667, 589?

You can find a detailed procedure to find GCD of 13, 649, 667, 589 on our page.

3. How to find GCD of 13, 649, 667, 589 on a calculator?

You can find the GCD of 13, 649, 667, 589 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.