GCD of 816, 379, 607, 689 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 816, 379, 607, 689 i.e. 1 largest integer that divides all the numbers equally.

GCD of 816, 379, 607, 689 is 1

GCD(816, 379, 607, 689) = 1

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

GCD of

GCD of numbers 816, 379, 607, 689 is 1

GCD(816, 379, 607, 689) = 1

GCD of 816,379,607,689 Calculator

GCDof 816,379,607,689 is 1

Given Input numbers are 816, 379, 607, 689

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

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 379

List of positive integer divisors of 379 that divides 379 without a remainder.

1, 379

Divisors of 607

List of positive integer divisors of 607 that divides 607 without a remainder.

1, 607

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Greatest Common Divisior

We found the divisors of 816, 379, 607, 689 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 816, 379, 607, 689 is 1.

Therefore, GCD of numbers 816, 379, 607, 689 is 1

Finding GCD of 816, 379, 607, 689 using Prime Factorization

Given Input Data is 816, 379, 607, 689

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

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

Prime Factorization of 379 is 379

Prime Factorization of 607 is 607

Prime Factorization of 689 is 13 x 53

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

Finding GCD of 816, 379, 607, 689 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(816, 379) = 309264

GCD(816, 379) = ( 816 x 379 ) / 309264

GCD(816, 379) = 309264 / 309264

GCD(816, 379) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 607

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

LCM(1, 607) = 607

GCD(1, 607) = ( 1 x 607 ) / 607

GCD(1, 607) = 607 / 607

GCD(1, 607) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 689

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

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

GCD(1, 689) = 689 / 689

GCD(1, 689) = 1

GCD of 816, 379, 607, 689 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 816, 379, 607, 689

1. What is the GCD of 816, 379, 607, 689?

GCD of 816, 379, 607, 689 is 1


2. Where do I get the detailed procedure to find GCD of 816, 379, 607, 689?

You can find a detailed procedure to find GCD of 816, 379, 607, 689 on our page.


3. How to find GCD of 816, 379, 607, 689 on a calculator?

You can find the GCD of 816, 379, 607, 689 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.