GCD of 656, 225, 231, 589 Calculator

Given Input numbers are 656, 225, 231, 589

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

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 589

List of positive integer divisors of 589 that divides 589 without a remainder.

1, 19, 31, 589

Greatest Common Divisior

We found the divisors of 656, 225, 231, 589 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 656, 225, 231, 589 is 1.

Therefore, GCD of numbers 656, 225, 231, 589 is 1

Given Input Data is 656, 225, 231, 589

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

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 225 is 3 x 3 x 5 x 5

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 589 is 19 x 31

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(656, 225) = 147600

GCD(656, 225) = ( 656 x 225 ) / 147600

GCD(656, 225) = 147600 / 147600

GCD(656, 225) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 231

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

LCM(1, 231) = 231

GCD(1, 231) = ( 1 x 231 ) / 231

GCD(1, 231) = 231 / 231

GCD(1, 231) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 589

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

LCM(1, 589) = 589

GCD(1, 589) = ( 1 x 589 ) / 589

GCD(1, 589) = 589 / 589

GCD(1, 589) = 1

GCD of 656, 225, 231, 589 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 700, 411, 437, 282
• GCD of 162, 579, 213, 415
• GCD of 225, 166, 130, 942
• GCD of 940, 469, 991, 177
• GCD of 382, 331, 312, 361

1. What is the GCD of 656, 225, 231, 589?

GCD of 656, 225, 231, 589 is 1

2. Where do I get the detailed procedure to find GCD of 656, 225, 231, 589?

You can find a detailed procedure to find GCD of 656, 225, 231, 589 on our page.

3. How to find GCD of 656, 225, 231, 589 on a calculator?

You can find the GCD of 656, 225, 231, 589 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.