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 408, 243, 24, 382 i.e. 1 largest integer that divides all the numbers equally.
GCD of 408, 243, 24, 382 is 1
GCD(408, 243, 24, 382) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 408, 243, 24, 382 is 1
GCD(408, 243, 24, 382) = 1
Given Input numbers are 408, 243, 24, 382
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 408
List of positive integer divisors of 408 that divides 408 without a remainder.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
Divisors of 243
List of positive integer divisors of 243 that divides 243 without a remainder.
1, 3, 9, 27, 81, 243
Divisors of 24
List of positive integer divisors of 24 that divides 24 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24
Divisors of 382
List of positive integer divisors of 382 that divides 382 without a remainder.
1, 2, 191, 382
Greatest Common Divisior
We found the divisors of 408, 243, 24, 382 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 408, 243, 24, 382 is 1.
Therefore, GCD of numbers 408, 243, 24, 382 is 1
Given Input Data is 408, 243, 24, 382
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17
Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3
Prime Factorization of 24 is 2 x 2 x 2 x 3
Prime Factorization of 382 is 2 x 191
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(408, 243) = 33048
GCD(408, 243) = ( 408 x 243 ) / 33048
GCD(408, 243) = 99144 / 33048
GCD(408, 243) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 24
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 24) = 24
GCD(3, 24) = ( 3 x 24 ) / 24
GCD(3, 24) = 72 / 24
GCD(3, 24) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 382
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 382) = 1146
GCD(3, 382) = ( 3 x 382 ) / 1146
GCD(3, 382) = 1146 / 1146
GCD(3, 382) = 1
GCD of 408, 243, 24, 382 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 408, 243, 24, 382?
GCD of 408, 243, 24, 382 is 1
2. Where do I get the detailed procedure to find GCD of 408, 243, 24, 382?
You can find a detailed procedure to find GCD of 408, 243, 24, 382 on our page.
3. How to find GCD of 408, 243, 24, 382 on a calculator?
You can find the GCD of 408, 243, 24, 382 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.