GCD of 13, 353, 994, 418 Calculator

Given Input numbers are 13, 353, 994, 418

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

Divisors of 13

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

1, 13

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Greatest Common Divisior

We found the divisors of 13, 353, 994, 418 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 13, 353, 994, 418 is 1.

Therefore, GCD of numbers 13, 353, 994, 418 is 1

Given Input Data is 13, 353, 994, 418

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

Prime Factorization of 13 is 13

Prime Factorization of 353 is 353

Prime Factorization of 994 is 2 x 7 x 71

Prime Factorization of 418 is 2 x 11 x 19

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(13, 353) = 4589

GCD(13, 353) = ( 13 x 353 ) / 4589

GCD(13, 353) = 4589 / 4589

GCD(13, 353) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 994

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

LCM(1, 994) = 994

GCD(1, 994) = ( 1 x 994 ) / 994

GCD(1, 994) = 994 / 994

GCD(1, 994) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 418

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

LCM(1, 418) = 418

GCD(1, 418) = ( 1 x 418 ) / 418

GCD(1, 418) = 418 / 418

GCD(1, 418) = 1

GCD of 13, 353, 994, 418 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 63, 635, 745, 715
• GCD of 70, 441, 130, 525
• GCD of 35, 173, 891, 802
• GCD of 22, 562, 344, 571
• GCD of 19, 838, 819, 459

1. What is the GCD of 13, 353, 994, 418?

GCD of 13, 353, 994, 418 is 1

2. Where do I get the detailed procedure to find GCD of 13, 353, 994, 418?

You can find a detailed procedure to find GCD of 13, 353, 994, 418 on our page.

3. How to find GCD of 13, 353, 994, 418 on a calculator?

You can find the GCD of 13, 353, 994, 418 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.