GCD of 408, 490, 13, 683 Calculator

Given Input numbers are 408, 490, 13, 683

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

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 683

List of positive integer divisors of 683 that divides 683 without a remainder.

1, 683

Greatest Common Divisior

We found the divisors of 408, 490, 13, 683 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 408, 490, 13, 683 is 1.

Therefore, GCD of numbers 408, 490, 13, 683 is 1

Given Input Data is 408, 490, 13, 683

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

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 490 is 2 x 5 x 7 x 7

Prime Factorization of 13 is 13

Prime Factorization of 683 is 683

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(408, 490) = 99960

GCD(408, 490) = ( 408 x 490 ) / 99960

GCD(408, 490) = 199920 / 99960

GCD(408, 490) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 13

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

LCM(2, 13) = 26

GCD(2, 13) = ( 2 x 13 ) / 26

GCD(2, 13) = 26 / 26

GCD(2, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 683

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

LCM(1, 683) = 683

GCD(1, 683) = ( 1 x 683 ) / 683

GCD(1, 683) = 683 / 683

GCD(1, 683) = 1

GCD of 408, 490, 13, 683 is 1

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• GCD of 310, 388, 98, 886
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• GCD of 563, 598, 40, 277

1. What is the GCD of 408, 490, 13, 683?

GCD of 408, 490, 13, 683 is 1

2. Where do I get the detailed procedure to find GCD of 408, 490, 13, 683?

You can find a detailed procedure to find GCD of 408, 490, 13, 683 on our page.

3. How to find GCD of 408, 490, 13, 683 on a calculator?

You can find the GCD of 408, 490, 13, 683 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.