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, 332, 81 i.e. 1 largest integer that divides all the numbers equally.
GCD of 408, 332, 81 is 1
GCD(408, 332, 81) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 408, 332, 81 is 1
GCD(408, 332, 81) = 1
Given Input numbers are 408, 332, 81
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 332
List of positive integer divisors of 332 that divides 332 without a remainder.
1, 2, 4, 83, 166, 332
Divisors of 81
List of positive integer divisors of 81 that divides 81 without a remainder.
1, 3, 9, 27, 81
Greatest Common Divisior
We found the divisors of 408, 332, 81 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 408, 332, 81 is 1.
Therefore, GCD of numbers 408, 332, 81 is 1
Given Input Data is 408, 332, 81
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 332 is 2 x 2 x 83
Prime Factorization of 81 is 3 x 3 x 3 x 3
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, 332) = 33864
GCD(408, 332) = ( 408 x 332 ) / 33864
GCD(408, 332) = 135456 / 33864
GCD(408, 332) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 81
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 81) = 324
GCD(4, 81) = ( 4 x 81 ) / 324
GCD(4, 81) = 324 / 324
GCD(4, 81) = 1
GCD of 408, 332, 81 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 408, 332, 81?
GCD of 408, 332, 81 is 1
2. Where do I get the detailed procedure to find GCD of 408, 332, 81?
You can find a detailed procedure to find GCD of 408, 332, 81 on our page.
3. How to find GCD of 408, 332, 81 on a calculator?
You can find the GCD of 408, 332, 81 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.