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 567, 389, 216, 440 i.e. 1 largest integer that divides all the numbers equally.
GCD of 567, 389, 216, 440 is 1
GCD(567, 389, 216, 440) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 567, 389, 216, 440 is 1
GCD(567, 389, 216, 440) = 1
Given Input numbers are 567, 389, 216, 440
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 567
List of positive integer divisors of 567 that divides 567 without a remainder.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
Divisors of 389
List of positive integer divisors of 389 that divides 389 without a remainder.
1, 389
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 440
List of positive integer divisors of 440 that divides 440 without a remainder.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
Greatest Common Divisior
We found the divisors of 567, 389, 216, 440 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 567, 389, 216, 440 is 1.
Therefore, GCD of numbers 567, 389, 216, 440 is 1
Given Input Data is 567, 389, 216, 440
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7
Prime Factorization of 389 is 389
Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11
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(567, 389) = 220563
GCD(567, 389) = ( 567 x 389 ) / 220563
GCD(567, 389) = 220563 / 220563
GCD(567, 389) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 216
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 216) = 216
GCD(1, 216) = ( 1 x 216 ) / 216
GCD(1, 216) = 216 / 216
GCD(1, 216) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 440
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 440) = 440
GCD(1, 440) = ( 1 x 440 ) / 440
GCD(1, 440) = 440 / 440
GCD(1, 440) = 1
GCD of 567, 389, 216, 440 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 567, 389, 216, 440?
GCD of 567, 389, 216, 440 is 1
2. Where do I get the detailed procedure to find GCD of 567, 389, 216, 440?
You can find a detailed procedure to find GCD of 567, 389, 216, 440 on our page.
3. How to find GCD of 567, 389, 216, 440 on a calculator?
You can find the GCD of 567, 389, 216, 440 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.