GCD of 288, 267, 22, 579 Calculator

Given Input numbers are 288, 267, 22, 579

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

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

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

Divisors of 267

List of positive integer divisors of 267 that divides 267 without a remainder.

1, 3, 89, 267

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 579

List of positive integer divisors of 579 that divides 579 without a remainder.

1, 3, 193, 579

Greatest Common Divisior

We found the divisors of 288, 267, 22, 579 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 288, 267, 22, 579 is 1.

Therefore, GCD of numbers 288, 267, 22, 579 is 1

Given Input Data is 288, 267, 22, 579

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

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 267 is 3 x 89

Prime Factorization of 22 is 2 x 11

Prime Factorization of 579 is 3 x 193

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(288, 267) = 25632

GCD(288, 267) = ( 288 x 267 ) / 25632

GCD(288, 267) = 76896 / 25632

GCD(288, 267) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 22

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

LCM(3, 22) = 66

GCD(3, 22) = ( 3 x 22 ) / 66

GCD(3, 22) = 66 / 66

GCD(3, 22) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 579

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

LCM(1, 579) = 579

GCD(1, 579) = ( 1 x 579 ) / 579

GCD(1, 579) = 579 / 579

GCD(1, 579) = 1

GCD of 288, 267, 22, 579 is 1

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1. What is the GCD of 288, 267, 22, 579?

GCD of 288, 267, 22, 579 is 1

2. Where do I get the detailed procedure to find GCD of 288, 267, 22, 579?

You can find a detailed procedure to find GCD of 288, 267, 22, 579 on our page.

3. How to find GCD of 288, 267, 22, 579 on a calculator?

You can find the GCD of 288, 267, 22, 579 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.