GCD of 106, 351, 909 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 106, 351, 909 i.e. 1 largest integer that divides all the numbers equally.

GCD of 106, 351, 909 is 1

GCD(106, 351, 909) = 1

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

GCD of

GCD of numbers 106, 351, 909 is 1

GCD(106, 351, 909) = 1

GCD of 106,351,909 Calculator

GCDof 106,351,909 is 1

Given Input numbers are 106, 351, 909

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

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Greatest Common Divisior

We found the divisors of 106, 351, 909 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 106, 351, 909 is 1.

Therefore, GCD of numbers 106, 351, 909 is 1

Finding GCD of 106, 351, 909 using Prime Factorization

Given Input Data is 106, 351, 909

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

Prime Factorization of 106 is 2 x 53

Prime Factorization of 351 is 3 x 3 x 3 x 13

Prime Factorization of 909 is 3 x 3 x 101

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

Finding GCD of 106, 351, 909 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(106, 351) = 37206

GCD(106, 351) = ( 106 x 351 ) / 37206

GCD(106, 351) = 37206 / 37206

GCD(106, 351) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 909

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

LCM(1, 909) = 909

GCD(1, 909) = ( 1 x 909 ) / 909

GCD(1, 909) = 909 / 909

GCD(1, 909) = 1

GCD of 106, 351, 909 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 106, 351, 909

1. What is the GCD of 106, 351, 909?

GCD of 106, 351, 909 is 1


2. Where do I get the detailed procedure to find GCD of 106, 351, 909?

You can find a detailed procedure to find GCD of 106, 351, 909 on our page.


3. How to find GCD of 106, 351, 909 on a calculator?

You can find the GCD of 106, 351, 909 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.