GCD of 23, 212, 574, 920 Calculator

Given Input numbers are 23, 212, 574, 920

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

Divisors of 23

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

1, 23

Divisors of 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Divisors of 574

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

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

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Greatest Common Divisior

We found the divisors of 23, 212, 574, 920 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 23, 212, 574, 920 is 1.

Therefore, GCD of numbers 23, 212, 574, 920 is 1

Given Input Data is 23, 212, 574, 920

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

Prime Factorization of 23 is 23

Prime Factorization of 212 is 2 x 2 x 53

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 920 is 2 x 2 x 2 x 5 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(23, 212) = 4876

GCD(23, 212) = ( 23 x 212 ) / 4876

GCD(23, 212) = 4876 / 4876

GCD(23, 212) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 920

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

LCM(1, 920) = 920

GCD(1, 920) = ( 1 x 920 ) / 920

GCD(1, 920) = 920 / 920

GCD(1, 920) = 1

GCD of 23, 212, 574, 920 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 53, 329, 337, 554
• GCD of 61, 749, 834, 984
• GCD of 48, 161, 285, 921
• GCD of 29, 812, 117, 226
• GCD of 28, 833, 560, 710

1. What is the GCD of 23, 212, 574, 920?

GCD of 23, 212, 574, 920 is 1

2. Where do I get the detailed procedure to find GCD of 23, 212, 574, 920?

You can find a detailed procedure to find GCD of 23, 212, 574, 920 on our page.

3. How to find GCD of 23, 212, 574, 920 on a calculator?

You can find the GCD of 23, 212, 574, 920 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.