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, 379, 195, 225 i.e. 1 largest integer that divides all the numbers equally.
GCD of 900, 379, 195, 225 is 1
GCD(900, 379, 195, 225) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 900, 379, 195, 225 is 1
GCD(900, 379, 195, 225) = 1
Given Input numbers are 900, 379, 195, 225
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 379
List of positive integer divisors of 379 that divides 379 without a remainder.
1, 379
Divisors of 195
List of positive integer divisors of 195 that divides 195 without a remainder.
1, 3, 5, 13, 15, 39, 65, 195
Divisors of 225
List of positive integer divisors of 225 that divides 225 without a remainder.
1, 3, 5, 9, 15, 25, 45, 75, 225
Greatest Common Divisior
We found the divisors of 900, 379, 195, 225 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 379, 195, 225 is 1.
Therefore, GCD of numbers 900, 379, 195, 225 is 1
Given Input Data is 900, 379, 195, 225
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 379 is 379
Prime Factorization of 195 is 3 x 5 x 13
Prime Factorization of 225 is 3 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(900, 379) = 341100
GCD(900, 379) = ( 900 x 379 ) / 341100
GCD(900, 379) = 341100 / 341100
GCD(900, 379) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 195
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 195) = 195
GCD(1, 195) = ( 1 x 195 ) / 195
GCD(1, 195) = 195 / 195
GCD(1, 195) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 225
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 225) = 225
GCD(1, 225) = ( 1 x 225 ) / 225
GCD(1, 225) = 225 / 225
GCD(1, 225) = 1
GCD of 900, 379, 195, 225 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 900, 379, 195, 225?
GCD of 900, 379, 195, 225 is 1
2. Where do I get the detailed procedure to find GCD of 900, 379, 195, 225?
You can find a detailed procedure to find GCD of 900, 379, 195, 225 on our page.
3. How to find GCD of 900, 379, 195, 225 on a calculator?
You can find the GCD of 900, 379, 195, 225 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.