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, 101, 37, 559 i.e. 1 largest integer that divides all the numbers equally.
GCD of 225, 101, 37, 559 is 1
GCD(225, 101, 37, 559) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 225, 101, 37, 559 is 1
GCD(225, 101, 37, 559) = 1
Given Input numbers are 225, 101, 37, 559
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 101
List of positive integer divisors of 101 that divides 101 without a remainder.
1, 101
Divisors of 37
List of positive integer divisors of 37 that divides 37 without a remainder.
1, 37
Divisors of 559
List of positive integer divisors of 559 that divides 559 without a remainder.
1, 13, 43, 559
Greatest Common Divisior
We found the divisors of 225, 101, 37, 559 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 225, 101, 37, 559 is 1.
Therefore, GCD of numbers 225, 101, 37, 559 is 1
Given Input Data is 225, 101, 37, 559
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 101 is 101
Prime Factorization of 37 is 37
Prime Factorization of 559 is 13 x 43
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, 101) = 22725
GCD(225, 101) = ( 225 x 101 ) / 22725
GCD(225, 101) = 22725 / 22725
GCD(225, 101) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 37
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 37) = 37
GCD(1, 37) = ( 1 x 37 ) / 37
GCD(1, 37) = 37 / 37
GCD(1, 37) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 559
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 559) = 559
GCD(1, 559) = ( 1 x 559 ) / 559
GCD(1, 559) = 559 / 559
GCD(1, 559) = 1
GCD of 225, 101, 37, 559 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 225, 101, 37, 559?
GCD of 225, 101, 37, 559 is 1
2. Where do I get the detailed procedure to find GCD of 225, 101, 37, 559?
You can find a detailed procedure to find GCD of 225, 101, 37, 559 on our page.
3. How to find GCD of 225, 101, 37, 559 on a calculator?
You can find the GCD of 225, 101, 37, 559 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.