GCD of 409, 567, 413 Calculator

Given Input numbers are 409, 567, 413

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

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Divisors of 567

List of positive integer divisors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

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 409, 567, 413 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 409, 567, 413 is 1.

Therefore, GCD of numbers 409, 567, 413 is 1

Given Input Data is 409, 567, 413

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

Prime Factorization of 409 is 409

Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7

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(409, 567) = 231903

GCD(409, 567) = ( 409 x 567 ) / 231903

GCD(409, 567) = 231903 / 231903

GCD(409, 567) = 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 409, 567, 413 is 1

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• GCD of 186, 987, 747
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1. What is the GCD of 409, 567, 413?

GCD of 409, 567, 413 is 1

2. Where do I get the detailed procedure to find GCD of 409, 567, 413?

You can find a detailed procedure to find GCD of 409, 567, 413 on our page.

3. How to find GCD of 409, 567, 413 on a calculator?

You can find the GCD of 409, 567, 413 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.