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 numbers 32, 900, 201, 150 is 1
GCD(32, 900, 201, 150) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.