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, 771, 519, 772 i.e. 1 largest integer that divides all the numbers equally.
GCD of 16, 771, 519, 772 is 1
GCD(16, 771, 519, 772) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 16, 771, 519, 772 is 1
GCD(16, 771, 519, 772) = 1
Given Input numbers are 16, 771, 519, 772
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 771
List of positive integer divisors of 771 that divides 771 without a remainder.
1, 3, 257, 771
Divisors of 519
List of positive integer divisors of 519 that divides 519 without a remainder.
1, 3, 173, 519
Divisors of 772
List of positive integer divisors of 772 that divides 772 without a remainder.
1, 2, 4, 193, 386, 772
Greatest Common Divisior
We found the divisors of 16, 771, 519, 772 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 771, 519, 772 is 1.
Therefore, GCD of numbers 16, 771, 519, 772 is 1
Given Input Data is 16, 771, 519, 772
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 771 is 3 x 257
Prime Factorization of 519 is 3 x 173
Prime Factorization of 772 is 2 x 2 x 193
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, 771) = 12336
GCD(16, 771) = ( 16 x 771 ) / 12336
GCD(16, 771) = 12336 / 12336
GCD(16, 771) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 519
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 519) = 519
GCD(1, 519) = ( 1 x 519 ) / 519
GCD(1, 519) = 519 / 519
GCD(1, 519) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 772
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 772) = 772
GCD(1, 772) = ( 1 x 772 ) / 772
GCD(1, 772) = 772 / 772
GCD(1, 772) = 1
GCD of 16, 771, 519, 772 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 16, 771, 519, 772?
GCD of 16, 771, 519, 772 is 1
2. Where do I get the detailed procedure to find GCD of 16, 771, 519, 772?
You can find a detailed procedure to find GCD of 16, 771, 519, 772 on our page.
3. How to find GCD of 16, 771, 519, 772 on a calculator?
You can find the GCD of 16, 771, 519, 772 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.