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, 908, 13, 604 i.e. 1 largest integer that divides all the numbers equally.
GCD of 164, 908, 13, 604 is 1
GCD(164, 908, 13, 604) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 164, 908, 13, 604 is 1
GCD(164, 908, 13, 604) = 1
Given Input numbers are 164, 908, 13, 604
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 908
List of positive integer divisors of 908 that divides 908 without a remainder.
1, 2, 4, 227, 454, 908
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 604
List of positive integer divisors of 604 that divides 604 without a remainder.
1, 2, 4, 151, 302, 604
Greatest Common Divisior
We found the divisors of 164, 908, 13, 604 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 164, 908, 13, 604 is 1.
Therefore, GCD of numbers 164, 908, 13, 604 is 1
Given Input Data is 164, 908, 13, 604
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 908 is 2 x 2 x 227
Prime Factorization of 13 is 13
Prime Factorization of 604 is 2 x 2 x 151
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, 908) = 37228
GCD(164, 908) = ( 164 x 908 ) / 37228
GCD(164, 908) = 148912 / 37228
GCD(164, 908) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 13
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 13) = 52
GCD(4, 13) = ( 4 x 13 ) / 52
GCD(4, 13) = 52 / 52
GCD(4, 13) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 604
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 604) = 604
GCD(1, 604) = ( 1 x 604 ) / 604
GCD(1, 604) = 604 / 604
GCD(1, 604) = 1
GCD of 164, 908, 13, 604 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 164, 908, 13, 604?
GCD of 164, 908, 13, 604 is 1
2. Where do I get the detailed procedure to find GCD of 164, 908, 13, 604?
You can find a detailed procedure to find GCD of 164, 908, 13, 604 on our page.
3. How to find GCD of 164, 908, 13, 604 on a calculator?
You can find the GCD of 164, 908, 13, 604 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.