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, 843, 441, 999 i.e. 1 largest integer that divides all the numbers equally.
GCD of 164, 843, 441, 999 is 1
GCD(164, 843, 441, 999) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 164, 843, 441, 999 is 1
GCD(164, 843, 441, 999) = 1
Given Input numbers are 164, 843, 441, 999
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 843
List of positive integer divisors of 843 that divides 843 without a remainder.
1, 3, 281, 843
Divisors of 441
List of positive integer divisors of 441 that divides 441 without a remainder.
1, 3, 7, 9, 21, 49, 63, 147, 441
Divisors of 999
List of positive integer divisors of 999 that divides 999 without a remainder.
1, 3, 9, 27, 37, 111, 333, 999
Greatest Common Divisior
We found the divisors of 164, 843, 441, 999 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 164, 843, 441, 999 is 1.
Therefore, GCD of numbers 164, 843, 441, 999 is 1
Given Input Data is 164, 843, 441, 999
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 843 is 3 x 281
Prime Factorization of 441 is 3 x 3 x 7 x 7
Prime Factorization of 999 is 3 x 3 x 3 x 37
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, 843) = 138252
GCD(164, 843) = ( 164 x 843 ) / 138252
GCD(164, 843) = 138252 / 138252
GCD(164, 843) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 441
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 441) = 441
GCD(1, 441) = ( 1 x 441 ) / 441
GCD(1, 441) = 441 / 441
GCD(1, 441) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 999
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 999) = 999
GCD(1, 999) = ( 1 x 999 ) / 999
GCD(1, 999) = 999 / 999
GCD(1, 999) = 1
GCD of 164, 843, 441, 999 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 164, 843, 441, 999?
GCD of 164, 843, 441, 999 is 1
2. Where do I get the detailed procedure to find GCD of 164, 843, 441, 999?
You can find a detailed procedure to find GCD of 164, 843, 441, 999 on our page.
3. How to find GCD of 164, 843, 441, 999 on a calculator?
You can find the GCD of 164, 843, 441, 999 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.