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 16, 951, 366, 493 i.e. 1 largest integer that divides all the numbers equally.
GCD of 16, 951, 366, 493 is 1
GCD(16, 951, 366, 493) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 16, 951, 366, 493 is 1
GCD(16, 951, 366, 493) = 1
Given Input numbers are 16, 951, 366, 493
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 16
List of positive integer divisors of 16 that divides 16 without a remainder.
1, 2, 4, 8, 16
Divisors of 951
List of positive integer divisors of 951 that divides 951 without a remainder.
1, 3, 317, 951
Divisors of 366
List of positive integer divisors of 366 that divides 366 without a remainder.
1, 2, 3, 6, 61, 122, 183, 366
Divisors of 493
List of positive integer divisors of 493 that divides 493 without a remainder.
1, 17, 29, 493
Greatest Common Divisior
We found the divisors of 16, 951, 366, 493 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 951, 366, 493 is 1.
Therefore, GCD of numbers 16, 951, 366, 493 is 1
Given Input Data is 16, 951, 366, 493
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 16 is 2 x 2 x 2 x 2
Prime Factorization of 951 is 3 x 317
Prime Factorization of 366 is 2 x 3 x 61
Prime Factorization of 493 is 17 x 29
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(16, 951) = 15216
GCD(16, 951) = ( 16 x 951 ) / 15216
GCD(16, 951) = 15216 / 15216
GCD(16, 951) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 366
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 366) = 366
GCD(1, 366) = ( 1 x 366 ) / 366
GCD(1, 366) = 366 / 366
GCD(1, 366) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 493
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 493) = 493
GCD(1, 493) = ( 1 x 493 ) / 493
GCD(1, 493) = 493 / 493
GCD(1, 493) = 1
GCD of 16, 951, 366, 493 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 16, 951, 366, 493?
GCD of 16, 951, 366, 493 is 1
2. Where do I get the detailed procedure to find GCD of 16, 951, 366, 493?
You can find a detailed procedure to find GCD of 16, 951, 366, 493 on our page.
3. How to find GCD of 16, 951, 366, 493 on a calculator?
You can find the GCD of 16, 951, 366, 493 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.