GCD of 143, 442, 23, 574 Calculator

Given Input numbers are 143, 442, 23, 574

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

Divisors of 143

List of positive integer divisors of 143 that divides 143 without a remainder.

1, 11, 13, 143

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 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Greatest Common Divisior

We found the divisors of 143, 442, 23, 574 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 143, 442, 23, 574 is 1.

Therefore, GCD of numbers 143, 442, 23, 574 is 1

Given Input Data is 143, 442, 23, 574

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

Prime Factorization of 143 is 11 x 13

Prime Factorization of 442 is 2 x 13 x 17

Prime Factorization of 23 is 23

Prime Factorization of 574 is 2 x 7 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(143, 442) = 4862

GCD(143, 442) = ( 143 x 442 ) / 4862

GCD(143, 442) = 63206 / 4862

GCD(143, 442) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 23

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

LCM(13, 23) = 299

GCD(13, 23) = ( 13 x 23 ) / 299

GCD(13, 23) = 299 / 299

GCD(13, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 574

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

LCM(1, 574) = 574

GCD(1, 574) = ( 1 x 574 ) / 574

GCD(1, 574) = 574 / 574

GCD(1, 574) = 1

GCD of 143, 442, 23, 574 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 433, 579, 38, 239
• GCD of 423, 134, 75, 537
• GCD of 106, 640, 51, 649
• GCD of 561, 530, 70, 262
• GCD of 574, 441, 42, 427

1. What is the GCD of 143, 442, 23, 574?

GCD of 143, 442, 23, 574 is 1

2. Where do I get the detailed procedure to find GCD of 143, 442, 23, 574?

You can find a detailed procedure to find GCD of 143, 442, 23, 574 on our page.

3. How to find GCD of 143, 442, 23, 574 on a calculator?

You can find the GCD of 143, 442, 23, 574 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.