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 322, 493, 16, 795 i.e. 1 largest integer that divides all the numbers equally.
GCD of 322, 493, 16, 795 is 1
GCD(322, 493, 16, 795) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 322, 493, 16, 795 is 1
GCD(322, 493, 16, 795) = 1
Given Input numbers are 322, 493, 16, 795
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 322
List of positive integer divisors of 322 that divides 322 without a remainder.
1, 2, 7, 14, 23, 46, 161, 322
Divisors of 493
List of positive integer divisors of 493 that divides 493 without a remainder.
1, 17, 29, 493
Divisors of 16
List of positive integer divisors of 16 that divides 16 without a remainder.
1, 2, 4, 8, 16
Divisors of 795
List of positive integer divisors of 795 that divides 795 without a remainder.
1, 3, 5, 15, 53, 159, 265, 795
Greatest Common Divisior
We found the divisors of 322, 493, 16, 795 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 322, 493, 16, 795 is 1.
Therefore, GCD of numbers 322, 493, 16, 795 is 1
Given Input Data is 322, 493, 16, 795
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 322 is 2 x 7 x 23
Prime Factorization of 493 is 17 x 29
Prime Factorization of 16 is 2 x 2 x 2 x 2
Prime Factorization of 795 is 3 x 5 x 53
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(322, 493) = 158746
GCD(322, 493) = ( 322 x 493 ) / 158746
GCD(322, 493) = 158746 / 158746
GCD(322, 493) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 16
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 16) = 16
GCD(1, 16) = ( 1 x 16 ) / 16
GCD(1, 16) = 16 / 16
GCD(1, 16) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 795
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 795) = 795
GCD(1, 795) = ( 1 x 795 ) / 795
GCD(1, 795) = 795 / 795
GCD(1, 795) = 1
GCD of 322, 493, 16, 795 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 322, 493, 16, 795?
GCD of 322, 493, 16, 795 is 1
2. Where do I get the detailed procedure to find GCD of 322, 493, 16, 795?
You can find a detailed procedure to find GCD of 322, 493, 16, 795 on our page.
3. How to find GCD of 322, 493, 16, 795 on a calculator?
You can find the GCD of 322, 493, 16, 795 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.