GCD of 18, 561, 399, 608 Calculator

Given Input numbers are 18, 561, 399, 608

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 561

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

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

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Greatest Common Divisior

We found the divisors of 18, 561, 399, 608 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 561, 399, 608 is 1.

Therefore, GCD of numbers 18, 561, 399, 608 is 1

Given Input Data is 18, 561, 399, 608

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 561 is 3 x 11 x 17

Prime Factorization of 399 is 3 x 7 x 19

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

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, 561) = 3366

GCD(18, 561) = ( 18 x 561 ) / 3366

GCD(18, 561) = 10098 / 3366

GCD(18, 561) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 399

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

LCM(3, 399) = 399

GCD(3, 399) = ( 3 x 399 ) / 399

GCD(3, 399) = 1197 / 399

GCD(3, 399) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 608

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

LCM(3, 608) = 1824

GCD(3, 608) = ( 3 x 608 ) / 1824

GCD(3, 608) = 1824 / 1824

GCD(3, 608) = 1

GCD of 18, 561, 399, 608 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 37, 831, 196, 531
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1. What is the GCD of 18, 561, 399, 608?

GCD of 18, 561, 399, 608 is 1

2. Where do I get the detailed procedure to find GCD of 18, 561, 399, 608?

You can find a detailed procedure to find GCD of 18, 561, 399, 608 on our page.

3. How to find GCD of 18, 561, 399, 608 on a calculator?

You can find the GCD of 18, 561, 399, 608 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.