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, 315, 557, 933 i.e. 1 largest integer that divides all the numbers equally.
GCD of 225, 315, 557, 933 is 1
GCD(225, 315, 557, 933) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 225, 315, 557, 933 is 1
GCD(225, 315, 557, 933) = 1
Given Input numbers are 225, 315, 557, 933
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 315
List of positive integer divisors of 315 that divides 315 without a remainder.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
Divisors of 557
List of positive integer divisors of 557 that divides 557 without a remainder.
1, 557
Divisors of 933
List of positive integer divisors of 933 that divides 933 without a remainder.
1, 3, 311, 933
Greatest Common Divisior
We found the divisors of 225, 315, 557, 933 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 225, 315, 557, 933 is 1.
Therefore, GCD of numbers 225, 315, 557, 933 is 1
Given Input Data is 225, 315, 557, 933
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 315 is 3 x 3 x 5 x 7
Prime Factorization of 557 is 557
Prime Factorization of 933 is 3 x 311
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, 315) = 1575
GCD(225, 315) = ( 225 x 315 ) / 1575
GCD(225, 315) = 70875 / 1575
GCD(225, 315) = 45
Step2:
Here we consider the GCD from the above i.e. 45 as first number and the next as 557
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(45, 557) = 25065
GCD(45, 557) = ( 45 x 557 ) / 25065
GCD(45, 557) = 25065 / 25065
GCD(45, 557) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 933
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 933) = 933
GCD(1, 933) = ( 1 x 933 ) / 933
GCD(1, 933) = 933 / 933
GCD(1, 933) = 1
GCD of 225, 315, 557, 933 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 225, 315, 557, 933?
GCD of 225, 315, 557, 933 is 1
2. Where do I get the detailed procedure to find GCD of 225, 315, 557, 933?
You can find a detailed procedure to find GCD of 225, 315, 557, 933 on our page.
3. How to find GCD of 225, 315, 557, 933 on a calculator?
You can find the GCD of 225, 315, 557, 933 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.