GCD of 589, 215, 362, 690 Calculator

Given Input numbers are 589, 215, 362, 690

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

Divisors of 589

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

1, 19, 31, 589

Divisors of 215

List of positive integer divisors of 215 that divides 215 without a remainder.

1, 5, 43, 215

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Greatest Common Divisior

We found the divisors of 589, 215, 362, 690 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 589, 215, 362, 690 is 1.

Therefore, GCD of numbers 589, 215, 362, 690 is 1

Given Input Data is 589, 215, 362, 690

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

Prime Factorization of 589 is 19 x 31

Prime Factorization of 215 is 5 x 43

Prime Factorization of 362 is 2 x 181

Prime Factorization of 690 is 2 x 3 x 5 x 23

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(589, 215) = 126635

GCD(589, 215) = ( 589 x 215 ) / 126635

GCD(589, 215) = 126635 / 126635

GCD(589, 215) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 362

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

LCM(1, 362) = 362

GCD(1, 362) = ( 1 x 362 ) / 362

GCD(1, 362) = 362 / 362

GCD(1, 362) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 690

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

LCM(1, 690) = 690

GCD(1, 690) = ( 1 x 690 ) / 690

GCD(1, 690) = 690 / 690

GCD(1, 690) = 1

GCD of 589, 215, 362, 690 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 218, 634, 602, 214
• GCD of 618, 134, 242, 749
• GCD of 648, 480, 849, 585
• GCD of 149, 608, 362, 715
• GCD of 428, 736, 479, 786

1. What is the GCD of 589, 215, 362, 690?

GCD of 589, 215, 362, 690 is 1

2. Where do I get the detailed procedure to find GCD of 589, 215, 362, 690?

You can find a detailed procedure to find GCD of 589, 215, 362, 690 on our page.

3. How to find GCD of 589, 215, 362, 690 on a calculator?

You can find the GCD of 589, 215, 362, 690 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.