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 215, 411, 13, 468 i.e. 1 largest integer that divides all the numbers equally.
GCD of 215, 411, 13, 468 is 1
GCD(215, 411, 13, 468) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 215, 411, 13, 468 is 1
GCD(215, 411, 13, 468) = 1
Given Input numbers are 215, 411, 13, 468
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 215
List of positive integer divisors of 215 that divides 215 without a remainder.
1, 5, 43, 215
Divisors of 411
List of positive integer divisors of 411 that divides 411 without a remainder.
1, 3, 137, 411
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 468
List of positive integer divisors of 468 that divides 468 without a remainder.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Greatest Common Divisior
We found the divisors of 215, 411, 13, 468 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 215, 411, 13, 468 is 1.
Therefore, GCD of numbers 215, 411, 13, 468 is 1
Given Input Data is 215, 411, 13, 468
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 215 is 5 x 43
Prime Factorization of 411 is 3 x 137
Prime Factorization of 13 is 13
Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13
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(215, 411) = 88365
GCD(215, 411) = ( 215 x 411 ) / 88365
GCD(215, 411) = 88365 / 88365
GCD(215, 411) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 13
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 13) = 13
GCD(1, 13) = ( 1 x 13 ) / 13
GCD(1, 13) = 13 / 13
GCD(1, 13) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 468
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 468) = 468
GCD(1, 468) = ( 1 x 468 ) / 468
GCD(1, 468) = 468 / 468
GCD(1, 468) = 1
GCD of 215, 411, 13, 468 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 215, 411, 13, 468?
GCD of 215, 411, 13, 468 is 1
2. Where do I get the detailed procedure to find GCD of 215, 411, 13, 468?
You can find a detailed procedure to find GCD of 215, 411, 13, 468 on our page.
3. How to find GCD of 215, 411, 13, 468 on a calculator?
You can find the GCD of 215, 411, 13, 468 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.