GCD of 434, 476, 821 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 434, 476, 821 i.e. 1 largest integer that divides all the numbers equally.

GCD of 434, 476, 821 is 1

GCD(434, 476, 821) = 1

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

GCD of

GCD of numbers 434, 476, 821 is 1

GCD(434, 476, 821) = 1

GCD of 434,476,821 Calculator

GCDof 434,476,821 is 1

Given Input numbers are 434, 476, 821

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

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Greatest Common Divisior

We found the divisors of 434, 476, 821 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 434, 476, 821 is 1.

Therefore, GCD of numbers 434, 476, 821 is 1

Finding GCD of 434, 476, 821 using Prime Factorization

Given Input Data is 434, 476, 821

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

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 476 is 2 x 2 x 7 x 17

Prime Factorization of 821 is 821

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

Finding GCD of 434, 476, 821 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(434, 476) = 14756

GCD(434, 476) = ( 434 x 476 ) / 14756

GCD(434, 476) = 206584 / 14756

GCD(434, 476) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 821

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

LCM(14, 821) = 11494

GCD(14, 821) = ( 14 x 821 ) / 11494

GCD(14, 821) = 11494 / 11494

GCD(14, 821) = 1

GCD of 434, 476, 821 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 434, 476, 821

1. What is the GCD of 434, 476, 821?

GCD of 434, 476, 821 is 1

2. Where do I get the detailed procedure to find GCD of 434, 476, 821?

You can find a detailed procedure to find GCD of 434, 476, 821 on our page.

3. How to find GCD of 434, 476, 821 on a calculator?

You can find the GCD of 434, 476, 821 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.