GCD of 106, 395, 39 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, 395, 39 i.e. 1 largest integer that divides all the numbers equally.

GCD of 106, 395, 39 is 1

GCD(106, 395, 39) = 1

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

GCD of

GCD of numbers 106, 395, 39 is 1

GCD(106, 395, 39) = 1

GCD of 106,395,39 Calculator

GCDof 106,395,39 is 1

Given Input numbers are 106, 395, 39

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 395

List of positive integer divisors of 395 that divides 395 without a remainder.

1, 5, 79, 395

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Greatest Common Divisior

We found the divisors of 106, 395, 39 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 106, 395, 39 is 1.

Therefore, GCD of numbers 106, 395, 39 is 1

Finding GCD of 106, 395, 39 using Prime Factorization

Given Input Data is 106, 395, 39

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

Prime Factorization of 106 is 2 x 53

Prime Factorization of 395 is 5 x 79

Prime Factorization of 39 is 3 x 13

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

Finding GCD of 106, 395, 39 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, 395) = 41870

GCD(106, 395) = ( 106 x 395 ) / 41870

GCD(106, 395) = 41870 / 41870

GCD(106, 395) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 39

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

LCM(1, 39) = 39

GCD(1, 39) = ( 1 x 39 ) / 39

GCD(1, 39) = 39 / 39

GCD(1, 39) = 1

GCD of 106, 395, 39 is 1

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FAQs on GCD of numbers 106, 395, 39

1. What is the GCD of 106, 395, 39?

GCD of 106, 395, 39 is 1

2. Where do I get the detailed procedure to find GCD of 106, 395, 39?

You can find a detailed procedure to find GCD of 106, 395, 39 on our page.

3. How to find GCD of 106, 395, 39 on a calculator?

You can find the GCD of 106, 395, 39 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.