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 225, 963, 91, 592 i.e. 1 largest integer that divides all the numbers equally.
GCD of 225, 963, 91, 592 is 1
GCD(225, 963, 91, 592) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 225, 963, 91, 592 is 1
GCD(225, 963, 91, 592) = 1
Given Input numbers are 225, 963, 91, 592
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 963
List of positive integer divisors of 963 that divides 963 without a remainder.
1, 3, 9, 107, 321, 963
Divisors of 91
List of positive integer divisors of 91 that divides 91 without a remainder.
1, 7, 13, 91
Divisors of 592
List of positive integer divisors of 592 that divides 592 without a remainder.
1, 2, 4, 8, 16, 37, 74, 148, 296, 592
Greatest Common Divisior
We found the divisors of 225, 963, 91, 592 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 225, 963, 91, 592 is 1.
Therefore, GCD of numbers 225, 963, 91, 592 is 1
Given Input Data is 225, 963, 91, 592
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 225 is 3 x 3 x 5 x 5
Prime Factorization of 963 is 3 x 3 x 107
Prime Factorization of 91 is 7 x 13
Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37
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(225, 963) = 24075
GCD(225, 963) = ( 225 x 963 ) / 24075
GCD(225, 963) = 216675 / 24075
GCD(225, 963) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 91
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 91) = 819
GCD(9, 91) = ( 9 x 91 ) / 819
GCD(9, 91) = 819 / 819
GCD(9, 91) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 592
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 592) = 592
GCD(1, 592) = ( 1 x 592 ) / 592
GCD(1, 592) = 592 / 592
GCD(1, 592) = 1
GCD of 225, 963, 91, 592 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 225, 963, 91, 592?
GCD of 225, 963, 91, 592 is 1
2. Where do I get the detailed procedure to find GCD of 225, 963, 91, 592?
You can find a detailed procedure to find GCD of 225, 963, 91, 592 on our page.
3. How to find GCD of 225, 963, 91, 592 on a calculator?
You can find the GCD of 225, 963, 91, 592 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.