GCD of 413, 824, 208 Calculator

Given Input numbers are 413, 824, 208

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

Divisors of 413

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

1, 7, 59, 413

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Greatest Common Divisior

We found the divisors of 413, 824, 208 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 413, 824, 208 is 1.

Therefore, GCD of numbers 413, 824, 208 is 1

Given Input Data is 413, 824, 208

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

Prime Factorization of 413 is 7 x 59

Prime Factorization of 824 is 2 x 2 x 2 x 103

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

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(413, 824) = 340312

GCD(413, 824) = ( 413 x 824 ) / 340312

GCD(413, 824) = 340312 / 340312

GCD(413, 824) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 208

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

LCM(1, 208) = 208

GCD(1, 208) = ( 1 x 208 ) / 208

GCD(1, 208) = 208 / 208

GCD(1, 208) = 1

GCD of 413, 824, 208 is 1

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1. What is the GCD of 413, 824, 208?

GCD of 413, 824, 208 is 1

2. Where do I get the detailed procedure to find GCD of 413, 824, 208?

You can find a detailed procedure to find GCD of 413, 824, 208 on our page.

3. How to find GCD of 413, 824, 208 on a calculator?

You can find the GCD of 413, 824, 208 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.