GCD of 656, 189, 23, 627 Calculator

Given Input numbers are 656, 189, 23, 627

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 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 627

List of positive integer divisors of 627 that divides 627 without a remainder.

1, 3, 11, 19, 33, 57, 209, 627

Greatest Common Divisior

We found the divisors of 656, 189, 23, 627 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 656, 189, 23, 627 is 1.

Therefore, GCD of numbers 656, 189, 23, 627 is 1

Given Input Data is 656, 189, 23, 627

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 189 is 3 x 3 x 3 x 7

Prime Factorization of 23 is 23

Prime Factorization of 627 is 3 x 11 x 19

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, 189) = 123984

GCD(656, 189) = ( 656 x 189 ) / 123984

GCD(656, 189) = 123984 / 123984

GCD(656, 189) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 23

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

LCM(1, 23) = 23

GCD(1, 23) = ( 1 x 23 ) / 23

GCD(1, 23) = 23 / 23

GCD(1, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 627

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

LCM(1, 627) = 627

GCD(1, 627) = ( 1 x 627 ) / 627

GCD(1, 627) = 627 / 627

GCD(1, 627) = 1

GCD of 656, 189, 23, 627 is 1

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• GCD of 986, 702, 96, 288
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1. What is the GCD of 656, 189, 23, 627?

GCD of 656, 189, 23, 627 is 1

2. Where do I get the detailed procedure to find GCD of 656, 189, 23, 627?

You can find a detailed procedure to find GCD of 656, 189, 23, 627 on our page.

3. How to find GCD of 656, 189, 23, 627 on a calculator?

You can find the GCD of 656, 189, 23, 627 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.