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 465, 216, 239, 656 i.e. 1 largest integer that divides all the numbers equally.
GCD of 465, 216, 239, 656 is 1
GCD(465, 216, 239, 656) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 465, 216, 239, 656 is 1
GCD(465, 216, 239, 656) = 1
Given Input numbers are 465, 216, 239, 656
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 465
List of positive integer divisors of 465 that divides 465 without a remainder.
1, 3, 5, 15, 31, 93, 155, 465
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 239
List of positive integer divisors of 239 that divides 239 without a remainder.
1, 239
Divisors of 656
List of positive integer divisors of 656 that divides 656 without a remainder.
1, 2, 4, 8, 16, 41, 82, 164, 328, 656
Greatest Common Divisior
We found the divisors of 465, 216, 239, 656 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 465, 216, 239, 656 is 1.
Therefore, GCD of numbers 465, 216, 239, 656 is 1
Given Input Data is 465, 216, 239, 656
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 465 is 3 x 5 x 31
Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 239 is 239
Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41
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(465, 216) = 33480
GCD(465, 216) = ( 465 x 216 ) / 33480
GCD(465, 216) = 100440 / 33480
GCD(465, 216) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 239
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 239) = 717
GCD(3, 239) = ( 3 x 239 ) / 717
GCD(3, 239) = 717 / 717
GCD(3, 239) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 656
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 656) = 656
GCD(1, 656) = ( 1 x 656 ) / 656
GCD(1, 656) = 656 / 656
GCD(1, 656) = 1
GCD of 465, 216, 239, 656 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 465, 216, 239, 656?
GCD of 465, 216, 239, 656 is 1
2. Where do I get the detailed procedure to find GCD of 465, 216, 239, 656?
You can find a detailed procedure to find GCD of 465, 216, 239, 656 on our page.
3. How to find GCD of 465, 216, 239, 656 on a calculator?
You can find the GCD of 465, 216, 239, 656 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.