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 164, 381, 492, 605 i.e. 1 largest integer that divides all the numbers equally.
GCD of 164, 381, 492, 605 is 1
GCD(164, 381, 492, 605) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 164, 381, 492, 605 is 1
GCD(164, 381, 492, 605) = 1
Given Input numbers are 164, 381, 492, 605
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 164
List of positive integer divisors of 164 that divides 164 without a remainder.
1, 2, 4, 41, 82, 164
Divisors of 381
List of positive integer divisors of 381 that divides 381 without a remainder.
1, 3, 127, 381
Divisors of 492
List of positive integer divisors of 492 that divides 492 without a remainder.
1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
Divisors of 605
List of positive integer divisors of 605 that divides 605 without a remainder.
1, 5, 11, 55, 121, 605
Greatest Common Divisior
We found the divisors of 164, 381, 492, 605 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 164, 381, 492, 605 is 1.
Therefore, GCD of numbers 164, 381, 492, 605 is 1
Given Input Data is 164, 381, 492, 605
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 164 is 2 x 2 x 41
Prime Factorization of 381 is 3 x 127
Prime Factorization of 492 is 2 x 2 x 3 x 41
Prime Factorization of 605 is 5 x 11 x 11
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(164, 381) = 62484
GCD(164, 381) = ( 164 x 381 ) / 62484
GCD(164, 381) = 62484 / 62484
GCD(164, 381) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 492
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 492) = 492
GCD(1, 492) = ( 1 x 492 ) / 492
GCD(1, 492) = 492 / 492
GCD(1, 492) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 605
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 605) = 605
GCD(1, 605) = ( 1 x 605 ) / 605
GCD(1, 605) = 605 / 605
GCD(1, 605) = 1
GCD of 164, 381, 492, 605 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 164, 381, 492, 605?
GCD of 164, 381, 492, 605 is 1
2. Where do I get the detailed procedure to find GCD of 164, 381, 492, 605?
You can find a detailed procedure to find GCD of 164, 381, 492, 605 on our page.
3. How to find GCD of 164, 381, 492, 605 on a calculator?
You can find the GCD of 164, 381, 492, 605 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.