GCD of 789, 775, 374, 893 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, 775, 374, 893 i.e. 1 largest integer that divides all the numbers equally.

GCD of 789, 775, 374, 893 is 1

GCD(789, 775, 374, 893) = 1

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

GCD of

GCD of numbers 789, 775, 374, 893 is 1

GCD(789, 775, 374, 893) = 1

GCD of 789,775,374,893 Calculator

GCDof 789,775,374,893 is 1

Given Input numbers are 789, 775, 374, 893

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 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 893

List of positive integer divisors of 893 that divides 893 without a remainder.

1, 19, 47, 893

Greatest Common Divisior

We found the divisors of 789, 775, 374, 893 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 789, 775, 374, 893 is 1.

Therefore, GCD of numbers 789, 775, 374, 893 is 1

Finding GCD of 789, 775, 374, 893 using Prime Factorization

Given Input Data is 789, 775, 374, 893

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

Prime Factorization of 789 is 3 x 263

Prime Factorization of 775 is 5 x 5 x 31

Prime Factorization of 374 is 2 x 11 x 17

Prime Factorization of 893 is 19 x 47

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

Finding GCD of 789, 775, 374, 893 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, 775) = 611475

GCD(789, 775) = ( 789 x 775 ) / 611475

GCD(789, 775) = 611475 / 611475

GCD(789, 775) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 374

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

LCM(1, 374) = 374

GCD(1, 374) = ( 1 x 374 ) / 374

GCD(1, 374) = 374 / 374

GCD(1, 374) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 893

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

LCM(1, 893) = 893

GCD(1, 893) = ( 1 x 893 ) / 893

GCD(1, 893) = 893 / 893

GCD(1, 893) = 1

GCD of 789, 775, 374, 893 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 789, 775, 374, 893

1. What is the GCD of 789, 775, 374, 893?

GCD of 789, 775, 374, 893 is 1


2. Where do I get the detailed procedure to find GCD of 789, 775, 374, 893?

You can find a detailed procedure to find GCD of 789, 775, 374, 893 on our page.


3. How to find GCD of 789, 775, 374, 893 on a calculator?

You can find the GCD of 789, 775, 374, 893 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.