GCD of 815, 385, 959 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 815, 385, 959 i.e. 1 largest integer that divides all the numbers equally.

GCD of 815, 385, 959 is 1

GCD(815, 385, 959) = 1

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

GCD of

GCD of numbers 815, 385, 959 is 1

GCD(815, 385, 959) = 1

GCD of 815,385,959 Calculator

GCDof 815,385,959 is 1

Given Input numbers are 815, 385, 959

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

Divisors of 815

List of positive integer divisors of 815 that divides 815 without a remainder.

1, 5, 163, 815

Divisors of 385

List of positive integer divisors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Greatest Common Divisior

We found the divisors of 815, 385, 959 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 815, 385, 959 is 1.

Therefore, GCD of numbers 815, 385, 959 is 1

Finding GCD of 815, 385, 959 using Prime Factorization

Given Input Data is 815, 385, 959

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

Prime Factorization of 815 is 5 x 163

Prime Factorization of 385 is 5 x 7 x 11

Prime Factorization of 959 is 7 x 137

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

Finding GCD of 815, 385, 959 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(815, 385) = 62755

GCD(815, 385) = ( 815 x 385 ) / 62755

GCD(815, 385) = 313775 / 62755

GCD(815, 385) = 5


Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 959

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

LCM(5, 959) = 4795

GCD(5, 959) = ( 5 x 959 ) / 4795

GCD(5, 959) = 4795 / 4795

GCD(5, 959) = 1

GCD of 815, 385, 959 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 815, 385, 959

1. What is the GCD of 815, 385, 959?

GCD of 815, 385, 959 is 1


2. Where do I get the detailed procedure to find GCD of 815, 385, 959?

You can find a detailed procedure to find GCD of 815, 385, 959 on our page.


3. How to find GCD of 815, 385, 959 on a calculator?

You can find the GCD of 815, 385, 959 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.