GCD of 982, 789, 16, 476 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 982, 789, 16, 476 i.e. 1 largest integer that divides all the numbers equally.

GCD of 982, 789, 16, 476 is 1

GCD(982, 789, 16, 476) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 982, 789, 16, 476 is 1

GCD(982, 789, 16, 476) = 1

GCD of 982,789,16,476 Calculator

GCDof 982,789,16,476 is 1

Given Input numbers are 982, 789, 16, 476

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Divisors of 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Greatest Common Divisior

We found the divisors of 982, 789, 16, 476 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 982, 789, 16, 476 is 1.

Therefore, GCD of numbers 982, 789, 16, 476 is 1

Finding GCD of 982, 789, 16, 476 using Prime Factorization

Given Input Data is 982, 789, 16, 476

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 982 is 2 x 491

Prime Factorization of 789 is 3 x 263

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 476 is 2 x 2 x 7 x 17

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 982, 789, 16, 476 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(982, 789) = 774798

GCD(982, 789) = ( 982 x 789 ) / 774798

GCD(982, 789) = 774798 / 774798

GCD(982, 789) = 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 476

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 476) = 476

GCD(1, 476) = ( 1 x 476 ) / 476

GCD(1, 476) = 476 / 476

GCD(1, 476) = 1

GCD of 982, 789, 16, 476 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 982, 789, 16, 476

1. What is the GCD of 982, 789, 16, 476?

GCD of 982, 789, 16, 476 is 1


2. Where do I get the detailed procedure to find GCD of 982, 789, 16, 476?

You can find a detailed procedure to find GCD of 982, 789, 16, 476 on our page.


3. How to find GCD of 982, 789, 16, 476 on a calculator?

You can find the GCD of 982, 789, 16, 476 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.