GCD of 413, 399, 80, 687 Calculator

Given Input numbers are 413, 399, 80, 687

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 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Greatest Common Divisior

We found the divisors of 413, 399, 80, 687 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 413, 399, 80, 687 is 1.

Therefore, GCD of numbers 413, 399, 80, 687 is 1

Given Input Data is 413, 399, 80, 687

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

Prime Factorization of 413 is 7 x 59

Prime Factorization of 399 is 3 x 7 x 19

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 687 is 3 x 229

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, 399) = 23541

GCD(413, 399) = ( 413 x 399 ) / 23541

GCD(413, 399) = 164787 / 23541

GCD(413, 399) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 80

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

LCM(7, 80) = 560

GCD(7, 80) = ( 7 x 80 ) / 560

GCD(7, 80) = 560 / 560

GCD(7, 80) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 687

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

LCM(1, 687) = 687

GCD(1, 687) = ( 1 x 687 ) / 687

GCD(1, 687) = 687 / 687

GCD(1, 687) = 1

GCD of 413, 399, 80, 687 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 936, 157, 61, 957
• GCD of 759, 986, 27, 699
• GCD of 324, 724, 99, 572
• GCD of 995, 273, 18, 265
• GCD of 790, 258, 68, 683

1. What is the GCD of 413, 399, 80, 687?

GCD of 413, 399, 80, 687 is 1

2. Where do I get the detailed procedure to find GCD of 413, 399, 80, 687?

You can find a detailed procedure to find GCD of 413, 399, 80, 687 on our page.

3. How to find GCD of 413, 399, 80, 687 on a calculator?

You can find the GCD of 413, 399, 80, 687 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.