GCD of 345, 230, 379 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 345, 230, 379 i.e. 1 largest integer that divides all the numbers equally.

GCD of 345, 230, 379 is 1

GCD(345, 230, 379) = 1

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

GCD of

GCD of numbers 345, 230, 379 is 1

GCD(345, 230, 379) = 1

GCD of 345,230,379 Calculator

GCDof 345,230,379 is 1

Given Input numbers are 345, 230, 379

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

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 230

List of positive integer divisors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 379

List of positive integer divisors of 379 that divides 379 without a remainder.

1, 379

Greatest Common Divisior

We found the divisors of 345, 230, 379 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 230, 379 is 1.

Therefore, GCD of numbers 345, 230, 379 is 1

Finding GCD of 345, 230, 379 using Prime Factorization

Given Input Data is 345, 230, 379

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

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 230 is 2 x 5 x 23

Prime Factorization of 379 is 379

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

Finding GCD of 345, 230, 379 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(345, 230) = 690

GCD(345, 230) = ( 345 x 230 ) / 690

GCD(345, 230) = 79350 / 690

GCD(345, 230) = 115


Step2:

Here we consider the GCD from the above i.e. 115 as first number and the next as 379

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

LCM(115, 379) = 43585

GCD(115, 379) = ( 115 x 379 ) / 43585

GCD(115, 379) = 43585 / 43585

GCD(115, 379) = 1

GCD of 345, 230, 379 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 345, 230, 379

1. What is the GCD of 345, 230, 379?

GCD of 345, 230, 379 is 1


2. Where do I get the detailed procedure to find GCD of 345, 230, 379?

You can find a detailed procedure to find GCD of 345, 230, 379 on our page.


3. How to find GCD of 345, 230, 379 on a calculator?

You can find the GCD of 345, 230, 379 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.