GCD of 382, 628, 689 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 382, 628, 689 i.e. 1 largest integer that divides all the numbers equally.

GCD of 382, 628, 689 is 1

GCD(382, 628, 689) = 1

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

GCD of

GCD of numbers 382, 628, 689 is 1

GCD(382, 628, 689) = 1

GCD of 382,628,689 Calculator

GCDof 382,628,689 is 1

Given Input numbers are 382, 628, 689

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

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Greatest Common Divisior

We found the divisors of 382, 628, 689 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 382, 628, 689 is 1.

Therefore, GCD of numbers 382, 628, 689 is 1

Finding GCD of 382, 628, 689 using Prime Factorization

Given Input Data is 382, 628, 689

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

Prime Factorization of 382 is 2 x 191

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 689 is 13 x 53

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

Finding GCD of 382, 628, 689 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(382, 628) = 119948

GCD(382, 628) = ( 382 x 628 ) / 119948

GCD(382, 628) = 239896 / 119948

GCD(382, 628) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 689

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

LCM(2, 689) = 1378

GCD(2, 689) = ( 2 x 689 ) / 1378

GCD(2, 689) = 1378 / 1378

GCD(2, 689) = 1

GCD of 382, 628, 689 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 382, 628, 689

1. What is the GCD of 382, 628, 689?

GCD of 382, 628, 689 is 1

2. Where do I get the detailed procedure to find GCD of 382, 628, 689?

You can find a detailed procedure to find GCD of 382, 628, 689 on our page.

3. How to find GCD of 382, 628, 689 on a calculator?

You can find the GCD of 382, 628, 689 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.