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 401, 108, 41, 334 i.e. 1 largest integer that divides all the numbers equally.
GCD of 401, 108, 41, 334 is 1
GCD(401, 108, 41, 334) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 401, 108, 41, 334 is 1
GCD(401, 108, 41, 334) = 1
Given Input numbers are 401, 108, 41, 334
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 401
List of positive integer divisors of 401 that divides 401 without a remainder.
1, 401
Divisors of 108
List of positive integer divisors of 108 that divides 108 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 41
List of positive integer divisors of 41 that divides 41 without a remainder.
1, 41
Divisors of 334
List of positive integer divisors of 334 that divides 334 without a remainder.
1, 2, 167, 334
Greatest Common Divisior
We found the divisors of 401, 108, 41, 334 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 401, 108, 41, 334 is 1.
Therefore, GCD of numbers 401, 108, 41, 334 is 1
Given Input Data is 401, 108, 41, 334
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 401 is 401
Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3
Prime Factorization of 41 is 41
Prime Factorization of 334 is 2 x 167
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(401, 108) = 43308
GCD(401, 108) = ( 401 x 108 ) / 43308
GCD(401, 108) = 43308 / 43308
GCD(401, 108) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 41
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 41) = 41
GCD(1, 41) = ( 1 x 41 ) / 41
GCD(1, 41) = 41 / 41
GCD(1, 41) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 334
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 334) = 334
GCD(1, 334) = ( 1 x 334 ) / 334
GCD(1, 334) = 334 / 334
GCD(1, 334) = 1
GCD of 401, 108, 41, 334 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 401, 108, 41, 334?
GCD of 401, 108, 41, 334 is 1
2. Where do I get the detailed procedure to find GCD of 401, 108, 41, 334?
You can find a detailed procedure to find GCD of 401, 108, 41, 334 on our page.
3. How to find GCD of 401, 108, 41, 334 on a calculator?
You can find the GCD of 401, 108, 41, 334 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.