GCD of 593, 442, 18, 400 Calculator

Given Input numbers are 593, 442, 18, 400

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

Divisors of 593

List of positive integer divisors of 593 that divides 593 without a remainder.

1, 593

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 18

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

1, 2, 3, 6, 9, 18

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Greatest Common Divisior

We found the divisors of 593, 442, 18, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 593, 442, 18, 400 is 1.

Therefore, GCD of numbers 593, 442, 18, 400 is 1

Given Input Data is 593, 442, 18, 400

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

Prime Factorization of 593 is 593

Prime Factorization of 442 is 2 x 13 x 17

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

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(593, 442) = 262106

GCD(593, 442) = ( 593 x 442 ) / 262106

GCD(593, 442) = 262106 / 262106

GCD(593, 442) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 18

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

LCM(1, 18) = 18

GCD(1, 18) = ( 1 x 18 ) / 18

GCD(1, 18) = 18 / 18

GCD(1, 18) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 400

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

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

GCD(1, 400) = 400 / 400

GCD(1, 400) = 1

GCD of 593, 442, 18, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 918, 800, 57, 823
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• GCD of 307, 354, 32, 374

1. What is the GCD of 593, 442, 18, 400?

GCD of 593, 442, 18, 400 is 1

2. Where do I get the detailed procedure to find GCD of 593, 442, 18, 400?

You can find a detailed procedure to find GCD of 593, 442, 18, 400 on our page.

3. How to find GCD of 593, 442, 18, 400 on a calculator?

You can find the GCD of 593, 442, 18, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.