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 41, 212, 329, 404 i.e. 1 largest integer that divides all the numbers equally.
GCD of 41, 212, 329, 404 is 1
GCD(41, 212, 329, 404) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 41, 212, 329, 404 is 1
GCD(41, 212, 329, 404) = 1
Given Input numbers are 41, 212, 329, 404
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 41
List of positive integer divisors of 41 that divides 41 without a remainder.
1, 41
Divisors of 212
List of positive integer divisors of 212 that divides 212 without a remainder.
1, 2, 4, 53, 106, 212
Divisors of 329
List of positive integer divisors of 329 that divides 329 without a remainder.
1, 7, 47, 329
Divisors of 404
List of positive integer divisors of 404 that divides 404 without a remainder.
1, 2, 4, 101, 202, 404
Greatest Common Divisior
We found the divisors of 41, 212, 329, 404 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 41, 212, 329, 404 is 1.
Therefore, GCD of numbers 41, 212, 329, 404 is 1
Given Input Data is 41, 212, 329, 404
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 41 is 41
Prime Factorization of 212 is 2 x 2 x 53
Prime Factorization of 329 is 7 x 47
Prime Factorization of 404 is 2 x 2 x 101
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(41, 212) = 8692
GCD(41, 212) = ( 41 x 212 ) / 8692
GCD(41, 212) = 8692 / 8692
GCD(41, 212) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 329
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 329) = 329
GCD(1, 329) = ( 1 x 329 ) / 329
GCD(1, 329) = 329 / 329
GCD(1, 329) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 404
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 404) = 404
GCD(1, 404) = ( 1 x 404 ) / 404
GCD(1, 404) = 404 / 404
GCD(1, 404) = 1
GCD of 41, 212, 329, 404 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 41, 212, 329, 404?
GCD of 41, 212, 329, 404 is 1
2. Where do I get the detailed procedure to find GCD of 41, 212, 329, 404?
You can find a detailed procedure to find GCD of 41, 212, 329, 404 on our page.
3. How to find GCD of 41, 212, 329, 404 on a calculator?
You can find the GCD of 41, 212, 329, 404 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.