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 459, 969, 37, 227 i.e. 1 largest integer that divides all the numbers equally.
GCD of 459, 969, 37, 227 is 1
GCD(459, 969, 37, 227) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 459, 969, 37, 227 is 1
GCD(459, 969, 37, 227) = 1
Given Input numbers are 459, 969, 37, 227
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 459
List of positive integer divisors of 459 that divides 459 without a remainder.
1, 3, 9, 17, 27, 51, 153, 459
Divisors of 969
List of positive integer divisors of 969 that divides 969 without a remainder.
1, 3, 17, 19, 51, 57, 323, 969
Divisors of 37
List of positive integer divisors of 37 that divides 37 without a remainder.
1, 37
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 459, 969, 37, 227 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 459, 969, 37, 227 is 1.
Therefore, GCD of numbers 459, 969, 37, 227 is 1
Given Input Data is 459, 969, 37, 227
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 459 is 3 x 3 x 3 x 17
Prime Factorization of 969 is 3 x 17 x 19
Prime Factorization of 37 is 37
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(459, 969) = 8721
GCD(459, 969) = ( 459 x 969 ) / 8721
GCD(459, 969) = 444771 / 8721
GCD(459, 969) = 51
Step2:
Here we consider the GCD from the above i.e. 51 as first number and the next as 37
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(51, 37) = 1887
GCD(51, 37) = ( 51 x 37 ) / 1887
GCD(51, 37) = 1887 / 1887
GCD(51, 37) = 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 459, 969, 37, 227 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 459, 969, 37, 227?
GCD of 459, 969, 37, 227 is 1
2. Where do I get the detailed procedure to find GCD of 459, 969, 37, 227?
You can find a detailed procedure to find GCD of 459, 969, 37, 227 on our page.
3. How to find GCD of 459, 969, 37, 227 on a calculator?
You can find the GCD of 459, 969, 37, 227 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.