GCD of 789, 411, 128, 984 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, 411, 128, 984 i.e. 1 largest integer that divides all the numbers equally.

GCD of 789, 411, 128, 984 is 1

GCD(789, 411, 128, 984) = 1

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

GCD of

GCD of numbers 789, 411, 128, 984 is 1

GCD(789, 411, 128, 984) = 1

GCD of 789,411,128,984 Calculator

GCDof 789,411,128,984 is 1

Given Input numbers are 789, 411, 128, 984

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 411

List of positive integer divisors of 411 that divides 411 without a remainder.

1, 3, 137, 411

Divisors of 128

List of positive integer divisors of 128 that divides 128 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Greatest Common Divisior

We found the divisors of 789, 411, 128, 984 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 789, 411, 128, 984 is 1.

Therefore, GCD of numbers 789, 411, 128, 984 is 1

Finding GCD of 789, 411, 128, 984 using Prime Factorization

Given Input Data is 789, 411, 128, 984

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

Prime Factorization of 789 is 3 x 263

Prime Factorization of 411 is 3 x 137

Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

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

Finding GCD of 789, 411, 128, 984 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, 411) = 108093

GCD(789, 411) = ( 789 x 411 ) / 108093

GCD(789, 411) = 324279 / 108093

GCD(789, 411) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 128

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

LCM(3, 128) = 384

GCD(3, 128) = ( 3 x 128 ) / 384

GCD(3, 128) = 384 / 384

GCD(3, 128) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 984

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

LCM(1, 984) = 984

GCD(1, 984) = ( 1 x 984 ) / 984

GCD(1, 984) = 984 / 984

GCD(1, 984) = 1

GCD of 789, 411, 128, 984 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 789, 411, 128, 984

1. What is the GCD of 789, 411, 128, 984?

GCD of 789, 411, 128, 984 is 1


2. Where do I get the detailed procedure to find GCD of 789, 411, 128, 984?

You can find a detailed procedure to find GCD of 789, 411, 128, 984 on our page.


3. How to find GCD of 789, 411, 128, 984 on a calculator?

You can find the GCD of 789, 411, 128, 984 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.