GCD of 789, 924, 73, 682 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 789, 924, 73, 682 i.e. 1 largest integer that divides all the numbers equally.

GCD of 789, 924, 73, 682 is 1

GCD(789, 924, 73, 682) = 1

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

GCD of

GCD of numbers 789, 924, 73, 682 is 1

GCD(789, 924, 73, 682) = 1

GCD of 789,924,73,682 Calculator

GCDof 789,924,73,682 is 1

Given Input numbers are 789, 924, 73, 682

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

Divisors of 789

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

1, 3, 263, 789

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Greatest Common Divisior

We found the divisors of 789, 924, 73, 682 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 789, 924, 73, 682 is 1.

Therefore, GCD of numbers 789, 924, 73, 682 is 1

Finding GCD of 789, 924, 73, 682 using Prime Factorization

Given Input Data is 789, 924, 73, 682

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

Prime Factorization of 789 is 3 x 263

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

Prime Factorization of 73 is 73

Prime Factorization of 682 is 2 x 11 x 31

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

Finding GCD of 789, 924, 73, 682 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(789, 924) = 243012

GCD(789, 924) = ( 789 x 924 ) / 243012

GCD(789, 924) = 729036 / 243012

GCD(789, 924) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 73

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

LCM(3, 73) = 219

GCD(3, 73) = ( 3 x 73 ) / 219

GCD(3, 73) = 219 / 219

GCD(3, 73) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 682

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

LCM(1, 682) = 682

GCD(1, 682) = ( 1 x 682 ) / 682

GCD(1, 682) = 682 / 682

GCD(1, 682) = 1

GCD of 789, 924, 73, 682 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 789, 924, 73, 682

1. What is the GCD of 789, 924, 73, 682?

GCD of 789, 924, 73, 682 is 1


2. Where do I get the detailed procedure to find GCD of 789, 924, 73, 682?

You can find a detailed procedure to find GCD of 789, 924, 73, 682 on our page.


3. How to find GCD of 789, 924, 73, 682 on a calculator?

You can find the GCD of 789, 924, 73, 682 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.