GCD of 789, 698, 466, 379 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, 698, 466, 379 i.e. 1 largest integer that divides all the numbers equally.

GCD of 789, 698, 466, 379 is 1

GCD(789, 698, 466, 379) = 1

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

GCD of

GCD of numbers 789, 698, 466, 379 is 1

GCD(789, 698, 466, 379) = 1

GCD of 789,698,466,379 Calculator

GCDof 789,698,466,379 is 1

Given Input numbers are 789, 698, 466, 379

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 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Divisors of 379

List of positive integer divisors of 379 that divides 379 without a remainder.

1, 379

Greatest Common Divisior

We found the divisors of 789, 698, 466, 379 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 789, 698, 466, 379 is 1.

Therefore, GCD of numbers 789, 698, 466, 379 is 1

Finding GCD of 789, 698, 466, 379 using Prime Factorization

Given Input Data is 789, 698, 466, 379

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

Prime Factorization of 789 is 3 x 263

Prime Factorization of 698 is 2 x 349

Prime Factorization of 466 is 2 x 233

Prime Factorization of 379 is 379

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

Finding GCD of 789, 698, 466, 379 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, 698) = 550722

GCD(789, 698) = ( 789 x 698 ) / 550722

GCD(789, 698) = 550722 / 550722

GCD(789, 698) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 466

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

LCM(1, 466) = 466

GCD(1, 466) = ( 1 x 466 ) / 466

GCD(1, 466) = 466 / 466

GCD(1, 466) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 379

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

LCM(1, 379) = 379

GCD(1, 379) = ( 1 x 379 ) / 379

GCD(1, 379) = 379 / 379

GCD(1, 379) = 1

GCD of 789, 698, 466, 379 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 789, 698, 466, 379

1. What is the GCD of 789, 698, 466, 379?

GCD of 789, 698, 466, 379 is 1


2. Where do I get the detailed procedure to find GCD of 789, 698, 466, 379?

You can find a detailed procedure to find GCD of 789, 698, 466, 379 on our page.


3. How to find GCD of 789, 698, 466, 379 on a calculator?

You can find the GCD of 789, 698, 466, 379 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.