GCD of 576, 659, 222, 441 Calculator

Given Input numbers are 576, 659, 222, 441

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 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Divisors of 222

List of positive integer divisors of 222 that divides 222 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222

Divisors of 441

List of positive integer divisors of 441 that divides 441 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 441

Greatest Common Divisior

We found the divisors of 576, 659, 222, 441 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 576, 659, 222, 441 is 1.

Therefore, GCD of numbers 576, 659, 222, 441 is 1

Given Input Data is 576, 659, 222, 441

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 659 is 659

Prime Factorization of 222 is 2 x 3 x 37

Prime Factorization of 441 is 3 x 3 x 7 x 7

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, 659) = 379584

GCD(576, 659) = ( 576 x 659 ) / 379584

GCD(576, 659) = 379584 / 379584

GCD(576, 659) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 222

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

LCM(1, 222) = 222

GCD(1, 222) = ( 1 x 222 ) / 222

GCD(1, 222) = 222 / 222

GCD(1, 222) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 441

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

LCM(1, 441) = 441

GCD(1, 441) = ( 1 x 441 ) / 441

GCD(1, 441) = 441 / 441

GCD(1, 441) = 1

GCD of 576, 659, 222, 441 is 1

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1. What is the GCD of 576, 659, 222, 441?

GCD of 576, 659, 222, 441 is 1

2. Where do I get the detailed procedure to find GCD of 576, 659, 222, 441?

You can find a detailed procedure to find GCD of 576, 659, 222, 441 on our page.

3. How to find GCD of 576, 659, 222, 441 on a calculator?

You can find the GCD of 576, 659, 222, 441 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.