GCD of 16, 771, 519, 772 Calculator

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

GCD of numbers 16, 771, 519, 772 is 1

GCD(16, 771, 519, 772) = 1

GCD of 16,771,519,772 Calculator

GCDof 16,771,519,772 is 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

Finding GCD of 16, 771, 519, 772 using Prime Factorization

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

Finding GCD of 16, 771, 519, 772 using LCM Formula

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

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 16, 771, 519, 772

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.