GCD of 820, 924, 115 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 820, 924, 115 i.e. 1 largest integer that divides all the numbers equally.

GCD of 820, 924, 115 is 1

GCD(820, 924, 115) = 1

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

GCD of

GCD of numbers 820, 924, 115 is 1

GCD(820, 924, 115) = 1

GCD of 820,924,115 Calculator

GCDof 820,924,115 is 1

Given Input numbers are 820, 924, 115

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

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 115

List of positive integer divisors of 115 that divides 115 without a remainder.

1, 5, 23, 115

Greatest Common Divisior

We found the divisors of 820, 924, 115 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 820, 924, 115 is 1.

Therefore, GCD of numbers 820, 924, 115 is 1

Finding GCD of 820, 924, 115 using Prime Factorization

Given Input Data is 820, 924, 115

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

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

Prime Factorization of 115 is 5 x 23

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

Finding GCD of 820, 924, 115 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(820, 924) = 189420

GCD(820, 924) = ( 820 x 924 ) / 189420

GCD(820, 924) = 757680 / 189420

GCD(820, 924) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 115

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

LCM(4, 115) = 460

GCD(4, 115) = ( 4 x 115 ) / 460

GCD(4, 115) = 460 / 460

GCD(4, 115) = 1

GCD of 820, 924, 115 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 820, 924, 115

1. What is the GCD of 820, 924, 115?

GCD of 820, 924, 115 is 1

2. Where do I get the detailed procedure to find GCD of 820, 924, 115?

You can find a detailed procedure to find GCD of 820, 924, 115 on our page.

3. How to find GCD of 820, 924, 115 on a calculator?

You can find the GCD of 820, 924, 115 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.