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, 538, 369 i.e. 1 largest integer that divides all the numbers equally.
GCD of 408, 538, 369 is 1
GCD(408, 538, 369) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 408, 538, 369 is 1
GCD(408, 538, 369) = 1
Given Input numbers are 408, 538, 369
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 538
List of positive integer divisors of 538 that divides 538 without a remainder.
1, 2, 269, 538
Divisors of 369
List of positive integer divisors of 369 that divides 369 without a remainder.
1, 3, 9, 41, 123, 369
Greatest Common Divisior
We found the divisors of 408, 538, 369 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 408, 538, 369 is 1.
Therefore, GCD of numbers 408, 538, 369 is 1
Given Input Data is 408, 538, 369
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 538 is 2 x 269
Prime Factorization of 369 is 3 x 3 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(408, 538) = 109752
GCD(408, 538) = ( 408 x 538 ) / 109752
GCD(408, 538) = 219504 / 109752
GCD(408, 538) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 369
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 369) = 738
GCD(2, 369) = ( 2 x 369 ) / 738
GCD(2, 369) = 738 / 738
GCD(2, 369) = 1
GCD of 408, 538, 369 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 408, 538, 369?
GCD of 408, 538, 369 is 1
2. Where do I get the detailed procedure to find GCD of 408, 538, 369?
You can find a detailed procedure to find GCD of 408, 538, 369 on our page.
3. How to find GCD of 408, 538, 369 on a calculator?
You can find the GCD of 408, 538, 369 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.