GCD of 821, 462, 413 Calculator

Given Input numbers are 821, 462, 413

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

Divisors of 821

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

1, 821

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Greatest Common Divisior

We found the divisors of 821, 462, 413 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 821, 462, 413 is 1.

Therefore, GCD of numbers 821, 462, 413 is 1

Given Input Data is 821, 462, 413

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

Prime Factorization of 821 is 821

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 413 is 7 x 59

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

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(821, 462) = 379302

GCD(821, 462) = ( 821 x 462 ) / 379302

GCD(821, 462) = 379302 / 379302

GCD(821, 462) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 413

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

LCM(1, 413) = 413

GCD(1, 413) = ( 1 x 413 ) / 413

GCD(1, 413) = 413 / 413

GCD(1, 413) = 1

GCD of 821, 462, 413 is 1

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1. What is the GCD of 821, 462, 413?

GCD of 821, 462, 413 is 1

2. Where do I get the detailed procedure to find GCD of 821, 462, 413?

You can find a detailed procedure to find GCD of 821, 462, 413 on our page.

3. How to find GCD of 821, 462, 413 on a calculator?

You can find the GCD of 821, 462, 413 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.