GCD of 500, 592, 20, 943 Calculator

Given Input numbers are 500, 592, 20, 943

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

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 592

List of positive integer divisors of 592 that divides 592 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

Divisors of 20

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

1, 2, 4, 5, 10, 20

Divisors of 943

List of positive integer divisors of 943 that divides 943 without a remainder.

1, 23, 41, 943

Greatest Common Divisior

We found the divisors of 500, 592, 20, 943 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 592, 20, 943 is 1.

Therefore, GCD of numbers 500, 592, 20, 943 is 1

Given Input Data is 500, 592, 20, 943

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

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 943 is 23 x 41

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(500, 592) = 74000

GCD(500, 592) = ( 500 x 592 ) / 74000

GCD(500, 592) = 296000 / 74000

GCD(500, 592) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 20

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

LCM(4, 20) = 20

GCD(4, 20) = ( 4 x 20 ) / 20

GCD(4, 20) = 80 / 20

GCD(4, 20) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 943

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

LCM(4, 943) = 3772

GCD(4, 943) = ( 4 x 943 ) / 3772

GCD(4, 943) = 3772 / 3772

GCD(4, 943) = 1

GCD of 500, 592, 20, 943 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 283, 647, 67, 989
• GCD of 102, 625, 36, 375
• GCD of 414, 172, 44, 870
• GCD of 422, 689, 60, 819
• GCD of 331, 911, 32, 397

1. What is the GCD of 500, 592, 20, 943?

GCD of 500, 592, 20, 943 is 1

2. Where do I get the detailed procedure to find GCD of 500, 592, 20, 943?

You can find a detailed procedure to find GCD of 500, 592, 20, 943 on our page.

3. How to find GCD of 500, 592, 20, 943 on a calculator?

You can find the GCD of 500, 592, 20, 943 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.