GCD of 381, 697, 159, 822 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 381, 697, 159, 822 i.e. 1 largest integer that divides all the numbers equally.

GCD of 381, 697, 159, 822 is 1

GCD(381, 697, 159, 822) = 1

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

GCD of

GCD of numbers 381, 697, 159, 822 is 1

GCD(381, 697, 159, 822) = 1

GCD of 381,697,159,822 Calculator

GCDof 381,697,159,822 is 1

Given Input numbers are 381, 697, 159, 822

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

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Divisors of 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Greatest Common Divisior

We found the divisors of 381, 697, 159, 822 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 381, 697, 159, 822 is 1.

Therefore, GCD of numbers 381, 697, 159, 822 is 1

Finding GCD of 381, 697, 159, 822 using Prime Factorization

Given Input Data is 381, 697, 159, 822

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

Prime Factorization of 381 is 3 x 127

Prime Factorization of 697 is 17 x 41

Prime Factorization of 159 is 3 x 53

Prime Factorization of 822 is 2 x 3 x 137

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

Finding GCD of 381, 697, 159, 822 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(381, 697) = 265557

GCD(381, 697) = ( 381 x 697 ) / 265557

GCD(381, 697) = 265557 / 265557

GCD(381, 697) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 159

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

LCM(1, 159) = 159

GCD(1, 159) = ( 1 x 159 ) / 159

GCD(1, 159) = 159 / 159

GCD(1, 159) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 822

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

LCM(1, 822) = 822

GCD(1, 822) = ( 1 x 822 ) / 822

GCD(1, 822) = 822 / 822

GCD(1, 822) = 1

GCD of 381, 697, 159, 822 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 381, 697, 159, 822

1. What is the GCD of 381, 697, 159, 822?

GCD of 381, 697, 159, 822 is 1


2. Where do I get the detailed procedure to find GCD of 381, 697, 159, 822?

You can find a detailed procedure to find GCD of 381, 697, 159, 822 on our page.


3. How to find GCD of 381, 697, 159, 822 on a calculator?

You can find the GCD of 381, 697, 159, 822 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.