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 227, 216, 697, 654 i.e. 1 largest integer that divides all the numbers equally.
GCD of 227, 216, 697, 654 is 1
GCD(227, 216, 697, 654) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 227, 216, 697, 654 is 1
GCD(227, 216, 697, 654) = 1
Given Input numbers are 227, 216, 697, 654
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 227
List of positive integer divisors of 227 that divides 227 without a remainder.
1, 227
Divisors of 216
List of positive integer divisors of 216 that divides 216 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Divisors of 697
List of positive integer divisors of 697 that divides 697 without a remainder.
1, 17, 41, 697
Divisors of 654
List of positive integer divisors of 654 that divides 654 without a remainder.
1, 2, 3, 6, 109, 218, 327, 654
Greatest Common Divisior
We found the divisors of 227, 216, 697, 654 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 227, 216, 697, 654 is 1.
Therefore, GCD of numbers 227, 216, 697, 654 is 1
Given Input Data is 227, 216, 697, 654
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 227 is 227
Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 697 is 17 x 41
Prime Factorization of 654 is 2 x 3 x 109
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(227, 216) = 49032
GCD(227, 216) = ( 227 x 216 ) / 49032
GCD(227, 216) = 49032 / 49032
GCD(227, 216) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 697
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 697) = 697
GCD(1, 697) = ( 1 x 697 ) / 697
GCD(1, 697) = 697 / 697
GCD(1, 697) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 654
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 654) = 654
GCD(1, 654) = ( 1 x 654 ) / 654
GCD(1, 654) = 654 / 654
GCD(1, 654) = 1
GCD of 227, 216, 697, 654 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 227, 216, 697, 654?
GCD of 227, 216, 697, 654 is 1
2. Where do I get the detailed procedure to find GCD of 227, 216, 697, 654?
You can find a detailed procedure to find GCD of 227, 216, 697, 654 on our page.
3. How to find GCD of 227, 216, 697, 654 on a calculator?
You can find the GCD of 227, 216, 697, 654 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.