GCD of 23, 133, 162, 460 Calculator

Given Input numbers are 23, 133, 162, 460

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

Divisors of 23

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

1, 23

Divisors of 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Divisors of 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Greatest Common Divisior

We found the divisors of 23, 133, 162, 460 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 23, 133, 162, 460 is 1.

Therefore, GCD of numbers 23, 133, 162, 460 is 1

Given Input Data is 23, 133, 162, 460

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

Prime Factorization of 23 is 23

Prime Factorization of 133 is 7 x 19

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

Prime Factorization of 460 is 2 x 2 x 5 x 23

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(23, 133) = 3059

GCD(23, 133) = ( 23 x 133 ) / 3059

GCD(23, 133) = 3059 / 3059

GCD(23, 133) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 162

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

LCM(1, 162) = 162

GCD(1, 162) = ( 1 x 162 ) / 162

GCD(1, 162) = 162 / 162

GCD(1, 162) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 460

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

LCM(1, 460) = 460

GCD(1, 460) = ( 1 x 460 ) / 460

GCD(1, 460) = 460 / 460

GCD(1, 460) = 1

GCD of 23, 133, 162, 460 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 59, 625, 460, 480
• GCD of 43, 909, 243, 410
• GCD of 13, 627, 209, 201
• GCD of 33, 383, 750, 908
• GCD of 33, 791, 564, 615

1. What is the GCD of 23, 133, 162, 460?

GCD of 23, 133, 162, 460 is 1

2. Where do I get the detailed procedure to find GCD of 23, 133, 162, 460?

You can find a detailed procedure to find GCD of 23, 133, 162, 460 on our page.

3. How to find GCD of 23, 133, 162, 460 on a calculator?

You can find the GCD of 23, 133, 162, 460 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.