GCD of 132, 150, 18, 923 Calculator

Given Input numbers are 132, 150, 18, 923

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

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 923

List of positive integer divisors of 923 that divides 923 without a remainder.

1, 13, 71, 923

Greatest Common Divisior

We found the divisors of 132, 150, 18, 923 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 132, 150, 18, 923 is 1.

Therefore, GCD of numbers 132, 150, 18, 923 is 1

Given Input Data is 132, 150, 18, 923

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

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 150 is 2 x 3 x 5 x 5

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 923 is 13 x 71

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(132, 150) = 3300

GCD(132, 150) = ( 132 x 150 ) / 3300

GCD(132, 150) = 19800 / 3300

GCD(132, 150) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 18

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

LCM(6, 18) = 18

GCD(6, 18) = ( 6 x 18 ) / 18

GCD(6, 18) = 108 / 18

GCD(6, 18) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 923

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

LCM(6, 923) = 5538

GCD(6, 923) = ( 6 x 923 ) / 5538

GCD(6, 923) = 5538 / 5538

GCD(6, 923) = 1

GCD of 132, 150, 18, 923 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 226, 491, 99, 787
• GCD of 283, 741, 35, 598
• GCD of 478, 378, 10, 991
• GCD of 285, 670, 52, 650
• GCD of 889, 879, 81, 968

1. What is the GCD of 132, 150, 18, 923?

GCD of 132, 150, 18, 923 is 1

2. Where do I get the detailed procedure to find GCD of 132, 150, 18, 923?

You can find a detailed procedure to find GCD of 132, 150, 18, 923 on our page.

3. How to find GCD of 132, 150, 18, 923 on a calculator?

You can find the GCD of 132, 150, 18, 923 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.