GCD of 354, 869, 813 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 354, 869, 813 i.e. 1 largest integer that divides all the numbers equally.

GCD of 354, 869, 813 is 1

GCD(354, 869, 813) = 1

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

GCD of

GCD of numbers 354, 869, 813 is 1

GCD(354, 869, 813) = 1

GCD of 354,869,813 Calculator

GCDof 354,869,813 is 1

Given Input numbers are 354, 869, 813

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

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 869

List of positive integer divisors of 869 that divides 869 without a remainder.

1, 11, 79, 869

Divisors of 813

List of positive integer divisors of 813 that divides 813 without a remainder.

1, 3, 271, 813

Greatest Common Divisior

We found the divisors of 354, 869, 813 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 354, 869, 813 is 1.

Therefore, GCD of numbers 354, 869, 813 is 1

Finding GCD of 354, 869, 813 using Prime Factorization

Given Input Data is 354, 869, 813

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

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 869 is 11 x 79

Prime Factorization of 813 is 3 x 271

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

Finding GCD of 354, 869, 813 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(354, 869) = 307626

GCD(354, 869) = ( 354 x 869 ) / 307626

GCD(354, 869) = 307626 / 307626

GCD(354, 869) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 813

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

LCM(1, 813) = 813

GCD(1, 813) = ( 1 x 813 ) / 813

GCD(1, 813) = 813 / 813

GCD(1, 813) = 1

GCD of 354, 869, 813 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 354, 869, 813

1. What is the GCD of 354, 869, 813?

GCD of 354, 869, 813 is 1


2. Where do I get the detailed procedure to find GCD of 354, 869, 813?

You can find a detailed procedure to find GCD of 354, 869, 813 on our page.


3. How to find GCD of 354, 869, 813 on a calculator?

You can find the GCD of 354, 869, 813 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.