GCD of 809, 316, 34 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 809, 316, 34 i.e. 1 largest integer that divides all the numbers equally.

GCD of 809, 316, 34 is 1

GCD(809, 316, 34) = 1

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

GCD of

GCD of numbers 809, 316, 34 is 1

GCD(809, 316, 34) = 1

GCD of 809,316,34 Calculator

GCDof 809,316,34 is 1

Given Input numbers are 809, 316, 34

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

Divisors of 809

List of positive integer divisors of 809 that divides 809 without a remainder.

1, 809

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Greatest Common Divisior

We found the divisors of 809, 316, 34 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 809, 316, 34 is 1.

Therefore, GCD of numbers 809, 316, 34 is 1

Finding GCD of 809, 316, 34 using Prime Factorization

Given Input Data is 809, 316, 34

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

Prime Factorization of 809 is 809

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 34 is 2 x 17

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

Finding GCD of 809, 316, 34 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(809, 316) = 255644

GCD(809, 316) = ( 809 x 316 ) / 255644

GCD(809, 316) = 255644 / 255644

GCD(809, 316) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 34

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

LCM(1, 34) = 34

GCD(1, 34) = ( 1 x 34 ) / 34

GCD(1, 34) = 34 / 34

GCD(1, 34) = 1

GCD of 809, 316, 34 is 1

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FAQs on GCD of numbers 809, 316, 34

1. What is the GCD of 809, 316, 34?

GCD of 809, 316, 34 is 1

2. Where do I get the detailed procedure to find GCD of 809, 316, 34?

You can find a detailed procedure to find GCD of 809, 316, 34 on our page.

3. How to find GCD of 809, 316, 34 on a calculator?

You can find the GCD of 809, 316, 34 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.