GCD of 300, 205, 79 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 300, 205, 79 i.e. 1 largest integer that divides all the numbers equally.

GCD of 300, 205, 79 is 1

GCD(300, 205, 79) = 1

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

GCD of

GCD of numbers 300, 205, 79 is 1

GCD(300, 205, 79) = 1

GCD of 300,205,79 Calculator

GCDof 300,205,79 is 1

Given Input numbers are 300, 205, 79

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

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Divisors of 79

List of positive integer divisors of 79 that divides 79 without a remainder.

1, 79

Greatest Common Divisior

We found the divisors of 300, 205, 79 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 205, 79 is 1.

Therefore, GCD of numbers 300, 205, 79 is 1

Finding GCD of 300, 205, 79 using Prime Factorization

Given Input Data is 300, 205, 79

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

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 205 is 5 x 41

Prime Factorization of 79 is 79

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

Finding GCD of 300, 205, 79 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(300, 205) = 12300

GCD(300, 205) = ( 300 x 205 ) / 12300

GCD(300, 205) = 61500 / 12300

GCD(300, 205) = 5


Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 79

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

LCM(5, 79) = 395

GCD(5, 79) = ( 5 x 79 ) / 395

GCD(5, 79) = 395 / 395

GCD(5, 79) = 1

GCD of 300, 205, 79 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 300, 205, 79

1. What is the GCD of 300, 205, 79?

GCD of 300, 205, 79 is 1


2. Where do I get the detailed procedure to find GCD of 300, 205, 79?

You can find a detailed procedure to find GCD of 300, 205, 79 on our page.


3. How to find GCD of 300, 205, 79 on a calculator?

You can find the GCD of 300, 205, 79 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.