GCD of 223, 591, 285, 920 Calculator

Given Input numbers are 223, 591, 285, 920

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

Divisors of 223

List of positive integer divisors of 223 that divides 223 without a remainder.

1, 223

Divisors of 591

List of positive integer divisors of 591 that divides 591 without a remainder.

1, 3, 197, 591

Divisors of 285

List of positive integer divisors of 285 that divides 285 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285

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 223, 591, 285, 920 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 223, 591, 285, 920 is 1.

Therefore, GCD of numbers 223, 591, 285, 920 is 1

Given Input Data is 223, 591, 285, 920

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

Prime Factorization of 223 is 223

Prime Factorization of 591 is 3 x 197

Prime Factorization of 285 is 3 x 5 x 19

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(223, 591) = 131793

GCD(223, 591) = ( 223 x 591 ) / 131793

GCD(223, 591) = 131793 / 131793

GCD(223, 591) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 285

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

LCM(1, 285) = 285

GCD(1, 285) = ( 1 x 285 ) / 285

GCD(1, 285) = 285 / 285

GCD(1, 285) = 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 223, 591, 285, 920 is 1

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1. What is the GCD of 223, 591, 285, 920?

GCD of 223, 591, 285, 920 is 1

2. Where do I get the detailed procedure to find GCD of 223, 591, 285, 920?

You can find a detailed procedure to find GCD of 223, 591, 285, 920 on our page.

3. How to find GCD of 223, 591, 285, 920 on a calculator?

You can find the GCD of 223, 591, 285, 920 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.