GCD of 230, 231, 28, 164 Calculator

Given Input numbers are 230, 231, 28, 164

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

Divisors of 230

List of positive integer divisors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

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 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Greatest Common Divisior

We found the divisors of 230, 231, 28, 164 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 230, 231, 28, 164 is 1.

Therefore, GCD of numbers 230, 231, 28, 164 is 1

Given Input Data is 230, 231, 28, 164

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

Prime Factorization of 230 is 2 x 5 x 23

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 164 is 2 x 2 x 41

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(230, 231) = 53130

GCD(230, 231) = ( 230 x 231 ) / 53130

GCD(230, 231) = 53130 / 53130

GCD(230, 231) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 28

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

LCM(1, 28) = 28

GCD(1, 28) = ( 1 x 28 ) / 28

GCD(1, 28) = 28 / 28

GCD(1, 28) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 164

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

LCM(1, 164) = 164

GCD(1, 164) = ( 1 x 164 ) / 164

GCD(1, 164) = 164 / 164

GCD(1, 164) = 1

GCD of 230, 231, 28, 164 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 807, 455, 66, 356
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1. What is the GCD of 230, 231, 28, 164?

GCD of 230, 231, 28, 164 is 1

2. Where do I get the detailed procedure to find GCD of 230, 231, 28, 164?

You can find a detailed procedure to find GCD of 230, 231, 28, 164 on our page.

3. How to find GCD of 230, 231, 28, 164 on a calculator?

You can find the GCD of 230, 231, 28, 164 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.