GCD of 576, 221, 427, 920 Calculator

Given Input numbers are 576, 221, 427, 920

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

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

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 576, 221, 427, 920 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 576, 221, 427, 920 is 1.

Therefore, GCD of numbers 576, 221, 427, 920 is 1

Given Input Data is 576, 221, 427, 920

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

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 221 is 13 x 17

Prime Factorization of 427 is 7 x 61

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(576, 221) = 127296

GCD(576, 221) = ( 576 x 221 ) / 127296

GCD(576, 221) = 127296 / 127296

GCD(576, 221) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 427

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

LCM(1, 427) = 427

GCD(1, 427) = ( 1 x 427 ) / 427

GCD(1, 427) = 427 / 427

GCD(1, 427) = 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 576, 221, 427, 920 is 1

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1. What is the GCD of 576, 221, 427, 920?

GCD of 576, 221, 427, 920 is 1

2. Where do I get the detailed procedure to find GCD of 576, 221, 427, 920?

You can find a detailed procedure to find GCD of 576, 221, 427, 920 on our page.

3. How to find GCD of 576, 221, 427, 920 on a calculator?

You can find the GCD of 576, 221, 427, 920 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.