GCD of 589, 412, 73, 402 Calculator

Given Input numbers are 589, 412, 73, 402

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 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Greatest Common Divisior

We found the divisors of 589, 412, 73, 402 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 589, 412, 73, 402 is 1.

Therefore, GCD of numbers 589, 412, 73, 402 is 1

Given Input Data is 589, 412, 73, 402

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

Prime Factorization of 589 is 19 x 31

Prime Factorization of 412 is 2 x 2 x 103

Prime Factorization of 73 is 73

Prime Factorization of 402 is 2 x 3 x 67

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, 412) = 242668

GCD(589, 412) = ( 589 x 412 ) / 242668

GCD(589, 412) = 242668 / 242668

GCD(589, 412) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 73

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

LCM(1, 73) = 73

GCD(1, 73) = ( 1 x 73 ) / 73

GCD(1, 73) = 73 / 73

GCD(1, 73) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 402

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

LCM(1, 402) = 402

GCD(1, 402) = ( 1 x 402 ) / 402

GCD(1, 402) = 402 / 402

GCD(1, 402) = 1

GCD of 589, 412, 73, 402 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 182, 801, 45, 695
• GCD of 392, 142, 76, 337
• GCD of 423, 264, 37, 770
• GCD of 144, 721, 73, 843
• GCD of 524, 176, 53, 292

1. What is the GCD of 589, 412, 73, 402?

GCD of 589, 412, 73, 402 is 1

2. Where do I get the detailed procedure to find GCD of 589, 412, 73, 402?

You can find a detailed procedure to find GCD of 589, 412, 73, 402 on our page.

3. How to find GCD of 589, 412, 73, 402 on a calculator?

You can find the GCD of 589, 412, 73, 402 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.