GCD of 589, 108, 70, 519 Calculator

Given Input numbers are 589, 108, 70, 519

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 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 519

List of positive integer divisors of 519 that divides 519 without a remainder.

1, 3, 173, 519

Greatest Common Divisior

We found the divisors of 589, 108, 70, 519 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 589, 108, 70, 519 is 1.

Therefore, GCD of numbers 589, 108, 70, 519 is 1

Given Input Data is 589, 108, 70, 519

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

Prime Factorization of 589 is 19 x 31

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 519 is 3 x 173

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, 108) = 63612

GCD(589, 108) = ( 589 x 108 ) / 63612

GCD(589, 108) = 63612 / 63612

GCD(589, 108) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 70

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

LCM(1, 70) = 70

GCD(1, 70) = ( 1 x 70 ) / 70

GCD(1, 70) = 70 / 70

GCD(1, 70) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 519

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

LCM(1, 519) = 519

GCD(1, 519) = ( 1 x 519 ) / 519

GCD(1, 519) = 519 / 519

GCD(1, 519) = 1

GCD of 589, 108, 70, 519 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 672, 176, 78, 533
• GCD of 657, 111, 10, 534
• GCD of 730, 250, 66, 885
• GCD of 480, 136, 70, 648
• GCD of 270, 725, 98, 761

1. What is the GCD of 589, 108, 70, 519?

GCD of 589, 108, 70, 519 is 1

2. Where do I get the detailed procedure to find GCD of 589, 108, 70, 519?

You can find a detailed procedure to find GCD of 589, 108, 70, 519 on our page.

3. How to find GCD of 589, 108, 70, 519 on a calculator?

You can find the GCD of 589, 108, 70, 519 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.