GCD of 18, 921, 598, 506 Calculator

Given Input numbers are 18, 921, 598, 506

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

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Greatest Common Divisior

We found the divisors of 18, 921, 598, 506 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 921, 598, 506 is 1.

Therefore, GCD of numbers 18, 921, 598, 506 is 1

Given Input Data is 18, 921, 598, 506

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

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 921 is 3 x 307

Prime Factorization of 598 is 2 x 13 x 23

Prime Factorization of 506 is 2 x 11 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(18, 921) = 5526

GCD(18, 921) = ( 18 x 921 ) / 5526

GCD(18, 921) = 16578 / 5526

GCD(18, 921) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 598

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

LCM(3, 598) = 1794

GCD(3, 598) = ( 3 x 598 ) / 1794

GCD(3, 598) = 1794 / 1794

GCD(3, 598) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 506

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

LCM(1, 506) = 506

GCD(1, 506) = ( 1 x 506 ) / 506

GCD(1, 506) = 506 / 506

GCD(1, 506) = 1

GCD of 18, 921, 598, 506 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 30, 976, 179, 972
• GCD of 55, 787, 266, 861
• GCD of 90, 261, 385, 225
• GCD of 15, 508, 223, 771
• GCD of 57, 816, 536, 986

1. What is the GCD of 18, 921, 598, 506?

GCD of 18, 921, 598, 506 is 1

2. Where do I get the detailed procedure to find GCD of 18, 921, 598, 506?

You can find a detailed procedure to find GCD of 18, 921, 598, 506 on our page.

3. How to find GCD of 18, 921, 598, 506 on a calculator?

You can find the GCD of 18, 921, 598, 506 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.