GCD of 789, 150, 963, 284 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, 150, 963, 284 i.e. 1 largest integer that divides all the numbers equally.

GCD of 789, 150, 963, 284 is 1

GCD(789, 150, 963, 284) = 1

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

GCD of

GCD of numbers 789, 150, 963, 284 is 1

GCD(789, 150, 963, 284) = 1

GCD of 789,150,963,284 Calculator

GCDof 789,150,963,284 is 1

Given Input numbers are 789, 150, 963, 284

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 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 963

List of positive integer divisors of 963 that divides 963 without a remainder.

1, 3, 9, 107, 321, 963

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Greatest Common Divisior

We found the divisors of 789, 150, 963, 284 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 789, 150, 963, 284 is 1.

Therefore, GCD of numbers 789, 150, 963, 284 is 1

Finding GCD of 789, 150, 963, 284 using Prime Factorization

Given Input Data is 789, 150, 963, 284

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

Prime Factorization of 789 is 3 x 263

Prime Factorization of 150 is 2 x 3 x 5 x 5

Prime Factorization of 963 is 3 x 3 x 107

Prime Factorization of 284 is 2 x 2 x 71

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

Finding GCD of 789, 150, 963, 284 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, 150) = 39450

GCD(789, 150) = ( 789 x 150 ) / 39450

GCD(789, 150) = 118350 / 39450

GCD(789, 150) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 963

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

LCM(3, 963) = 963

GCD(3, 963) = ( 3 x 963 ) / 963

GCD(3, 963) = 2889 / 963

GCD(3, 963) = 3


Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 284

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

LCM(3, 284) = 852

GCD(3, 284) = ( 3 x 284 ) / 852

GCD(3, 284) = 852 / 852

GCD(3, 284) = 1

GCD of 789, 150, 963, 284 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 789, 150, 963, 284

1. What is the GCD of 789, 150, 963, 284?

GCD of 789, 150, 963, 284 is 1


2. Where do I get the detailed procedure to find GCD of 789, 150, 963, 284?

You can find a detailed procedure to find GCD of 789, 150, 963, 284 on our page.


3. How to find GCD of 789, 150, 963, 284 on a calculator?

You can find the GCD of 789, 150, 963, 284 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.