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 900, 188, 40, 233 i.e. 1 largest integer that divides all the numbers equally.
GCD of 900, 188, 40, 233 is 1
GCD(900, 188, 40, 233) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 900, 188, 40, 233 is 1
GCD(900, 188, 40, 233) = 1
Given Input numbers are 900, 188, 40, 233
To find the GCD of numbers using factoring list out all the divisors of each number
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 188
List of positive integer divisors of 188 that divides 188 without a remainder.
1, 2, 4, 47, 94, 188
Divisors of 40
List of positive integer divisors of 40 that divides 40 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40
Divisors of 233
List of positive integer divisors of 233 that divides 233 without a remainder.
1, 233
Greatest Common Divisior
We found the divisors of 900, 188, 40, 233 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 188, 40, 233 is 1.
Therefore, GCD of numbers 900, 188, 40, 233 is 1
Given Input Data is 900, 188, 40, 233
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5
Prime Factorization of 188 is 2 x 2 x 47
Prime Factorization of 40 is 2 x 2 x 2 x 5
Prime Factorization of 233 is 233
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(900, 188) = 42300
GCD(900, 188) = ( 900 x 188 ) / 42300
GCD(900, 188) = 169200 / 42300
GCD(900, 188) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 40
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 40) = 40
GCD(4, 40) = ( 4 x 40 ) / 40
GCD(4, 40) = 160 / 40
GCD(4, 40) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 233
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 233) = 932
GCD(4, 233) = ( 4 x 233 ) / 932
GCD(4, 233) = 932 / 932
GCD(4, 233) = 1
GCD of 900, 188, 40, 233 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 900, 188, 40, 233?
GCD of 900, 188, 40, 233 is 1
2. Where do I get the detailed procedure to find GCD of 900, 188, 40, 233?
You can find a detailed procedure to find GCD of 900, 188, 40, 233 on our page.
3. How to find GCD of 900, 188, 40, 233 on a calculator?
You can find the GCD of 900, 188, 40, 233 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.