GCD of 16, 581, 208, 989 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, 581, 208, 989 i.e. 1 largest integer that divides all the numbers equally.

GCD of 16, 581, 208, 989 is 1

GCD(16, 581, 208, 989) = 1

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

GCD of

GCD of numbers 16, 581, 208, 989 is 1

GCD(16, 581, 208, 989) = 1

GCD of 16,581,208,989 Calculator

GCDof 16,581,208,989 is 1

Given Input numbers are 16, 581, 208, 989

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 581

List of positive integer divisors of 581 that divides 581 without a remainder.

1, 7, 83, 581

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Greatest Common Divisior

We found the divisors of 16, 581, 208, 989 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 581, 208, 989 is 1.

Therefore, GCD of numbers 16, 581, 208, 989 is 1

Finding GCD of 16, 581, 208, 989 using Prime Factorization

Given Input Data is 16, 581, 208, 989

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 581 is 7 x 83

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 989 is 23 x 43

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

Finding GCD of 16, 581, 208, 989 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, 581) = 9296

GCD(16, 581) = ( 16 x 581 ) / 9296

GCD(16, 581) = 9296 / 9296

GCD(16, 581) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 208

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

LCM(1, 208) = 208

GCD(1, 208) = ( 1 x 208 ) / 208

GCD(1, 208) = 208 / 208

GCD(1, 208) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 989

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

LCM(1, 989) = 989

GCD(1, 989) = ( 1 x 989 ) / 989

GCD(1, 989) = 989 / 989

GCD(1, 989) = 1

GCD of 16, 581, 208, 989 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 16, 581, 208, 989

1. What is the GCD of 16, 581, 208, 989?

GCD of 16, 581, 208, 989 is 1


2. Where do I get the detailed procedure to find GCD of 16, 581, 208, 989?

You can find a detailed procedure to find GCD of 16, 581, 208, 989 on our page.


3. How to find GCD of 16, 581, 208, 989 on a calculator?

You can find the GCD of 16, 581, 208, 989 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.