GCD of 32, 900, 201, 150 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 32, 900, 201, 150 i.e. 1 largest integer that divides all the numbers equally.

GCD of 32, 900, 201, 150 is 1

GCD(32, 900, 201, 150) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 32, 900, 201, 150 is 1

GCD(32, 900, 201, 150) = 1

GCD of 32,900,201,150 Calculator

GCDof 32,900,201,150 is 1

Given Input numbers are 32, 900, 201, 150

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

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 201

List of positive integer divisors of 201 that divides 201 without a remainder.

1, 3, 67, 201

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

Greatest Common Divisior

We found the divisors of 32, 900, 201, 150 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 32, 900, 201, 150 is 1.

Therefore, GCD of numbers 32, 900, 201, 150 is 1

Finding GCD of 32, 900, 201, 150 using Prime Factorization

Given Input Data is 32, 900, 201, 150

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

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 201 is 3 x 67

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

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 32, 900, 201, 150 using LCM Formula

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(32, 900) = 7200

GCD(32, 900) = ( 32 x 900 ) / 7200

GCD(32, 900) = 28800 / 7200

GCD(32, 900) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 201

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

LCM(4, 201) = 804

GCD(4, 201) = ( 4 x 201 ) / 804

GCD(4, 201) = 804 / 804

GCD(4, 201) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 150

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

LCM(1, 150) = 150

GCD(1, 150) = ( 1 x 150 ) / 150

GCD(1, 150) = 150 / 150

GCD(1, 150) = 1

GCD of 32, 900, 201, 150 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 32, 900, 201, 150

1. What is the GCD of 32, 900, 201, 150?

GCD of 32, 900, 201, 150 is 1


2. Where do I get the detailed procedure to find GCD of 32, 900, 201, 150?

You can find a detailed procedure to find GCD of 32, 900, 201, 150 on our page.


3. How to find GCD of 32, 900, 201, 150 on a calculator?

You can find the GCD of 32, 900, 201, 150 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.