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 500, 745, 561, 227 i.e. 1 largest integer that divides all the numbers equally.
GCD of 500, 745, 561, 227 is 1
GCD(500, 745, 561, 227) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 500, 745, 561, 227 is 1
GCD(500, 745, 561, 227) = 1
Given Input numbers are 500, 745, 561, 227
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 500
List of positive integer divisors of 500 that divides 500 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Divisors of 745
List of positive integer divisors of 745 that divides 745 without a remainder.
1, 5, 149, 745
Divisors of 561
List of positive integer divisors of 561 that divides 561 without a remainder.
1, 3, 11, 17, 33, 51, 187, 561
Divisors of 227
List of positive integer divisors of 227 that divides 227 without a remainder.
1, 227
Greatest Common Divisior
We found the divisors of 500, 745, 561, 227 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 745, 561, 227 is 1.
Therefore, GCD of numbers 500, 745, 561, 227 is 1
Given Input Data is 500, 745, 561, 227
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5
Prime Factorization of 745 is 5 x 149
Prime Factorization of 561 is 3 x 11 x 17
Prime Factorization of 227 is 227
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(500, 745) = 74500
GCD(500, 745) = ( 500 x 745 ) / 74500
GCD(500, 745) = 372500 / 74500
GCD(500, 745) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 561
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 561) = 2805
GCD(5, 561) = ( 5 x 561 ) / 2805
GCD(5, 561) = 2805 / 2805
GCD(5, 561) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 227
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 227) = 227
GCD(1, 227) = ( 1 x 227 ) / 227
GCD(1, 227) = 227 / 227
GCD(1, 227) = 1
GCD of 500, 745, 561, 227 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 500, 745, 561, 227?
GCD of 500, 745, 561, 227 is 1
2. Where do I get the detailed procedure to find GCD of 500, 745, 561, 227?
You can find a detailed procedure to find GCD of 500, 745, 561, 227 on our page.
3. How to find GCD of 500, 745, 561, 227 on a calculator?
You can find the GCD of 500, 745, 561, 227 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.