GCD of 20, 589, 561, 752 Calculator

Given Input numbers are 20, 589, 561, 752

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

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 589

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

1, 19, 31, 589

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Greatest Common Divisior

We found the divisors of 20, 589, 561, 752 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 20, 589, 561, 752 is 1.

Therefore, GCD of numbers 20, 589, 561, 752 is 1

Given Input Data is 20, 589, 561, 752

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

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 589 is 19 x 31

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

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(20, 589) = 11780

GCD(20, 589) = ( 20 x 589 ) / 11780

GCD(20, 589) = 11780 / 11780

GCD(20, 589) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 561

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

LCM(1, 561) = 561

GCD(1, 561) = ( 1 x 561 ) / 561

GCD(1, 561) = 561 / 561

GCD(1, 561) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 752

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

LCM(1, 752) = 752

GCD(1, 752) = ( 1 x 752 ) / 752

GCD(1, 752) = 752 / 752

GCD(1, 752) = 1

GCD of 20, 589, 561, 752 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 45, 821, 116, 897
• GCD of 67, 885, 555, 135
• GCD of 20, 676, 568, 259
• GCD of 62, 180, 325, 241
• GCD of 84, 799, 606, 268

1. What is the GCD of 20, 589, 561, 752?

GCD of 20, 589, 561, 752 is 1

2. Where do I get the detailed procedure to find GCD of 20, 589, 561, 752?

You can find a detailed procedure to find GCD of 20, 589, 561, 752 on our page.

3. How to find GCD of 20, 589, 561, 752 on a calculator?

You can find the GCD of 20, 589, 561, 752 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.