GCD of 792, 106, 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 792, 106, 689 i.e. 1 largest integer that divides all the numbers equally.

GCD of 792, 106, 689 is 1

GCD(792, 106, 689) = 1

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

GCD of

GCD of numbers 792, 106, 689 is 1

GCD(792, 106, 689) = 1

GCD of 792,106,689 Calculator

GCDof 792,106,689 is 1

Given Input numbers are 792, 106, 689

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

Divisors of 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

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 792, 106, 689 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 792, 106, 689 is 1.

Therefore, GCD of numbers 792, 106, 689 is 1

Finding GCD of 792, 106, 689 using Prime Factorization

Given Input Data is 792, 106, 689

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

Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11

Prime Factorization of 106 is 2 x 53

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 792, 106, 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(792, 106) = 41976

GCD(792, 106) = ( 792 x 106 ) / 41976

GCD(792, 106) = 83952 / 41976

GCD(792, 106) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 689

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

LCM(2, 689) = 1378

GCD(2, 689) = ( 2 x 689 ) / 1378

GCD(2, 689) = 1378 / 1378

GCD(2, 689) = 1

GCD of 792, 106, 689 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 792, 106, 689

1. What is the GCD of 792, 106, 689?

GCD of 792, 106, 689 is 1

2. Where do I get the detailed procedure to find GCD of 792, 106, 689?

You can find a detailed procedure to find GCD of 792, 106, 689 on our page.

3. How to find GCD of 792, 106, 689 on a calculator?

You can find the GCD of 792, 106, 689 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.