GCD of 517, 414, 442, 381 Calculator

Given Input numbers are 517, 414, 442, 381

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

Divisors of 517

List of positive integer divisors of 517 that divides 517 without a remainder.

1, 11, 47, 517

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Greatest Common Divisior

We found the divisors of 517, 414, 442, 381 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 517, 414, 442, 381 is 1.

Therefore, GCD of numbers 517, 414, 442, 381 is 1

Given Input Data is 517, 414, 442, 381

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

Prime Factorization of 517 is 11 x 47

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 442 is 2 x 13 x 17

Prime Factorization of 381 is 3 x 127

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(517, 414) = 214038

GCD(517, 414) = ( 517 x 414 ) / 214038

GCD(517, 414) = 214038 / 214038

GCD(517, 414) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 442

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

LCM(1, 442) = 442

GCD(1, 442) = ( 1 x 442 ) / 442

GCD(1, 442) = 442 / 442

GCD(1, 442) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 381

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

LCM(1, 381) = 381

GCD(1, 381) = ( 1 x 381 ) / 381

GCD(1, 381) = 381 / 381

GCD(1, 381) = 1

GCD of 517, 414, 442, 381 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 297, 317, 898, 716
• GCD of 965, 151, 815, 930
• GCD of 379, 527, 389, 478
• GCD of 114, 930, 133, 203
• GCD of 583, 801, 920, 876

1. What is the GCD of 517, 414, 442, 381?

GCD of 517, 414, 442, 381 is 1

2. Where do I get the detailed procedure to find GCD of 517, 414, 442, 381?

You can find a detailed procedure to find GCD of 517, 414, 442, 381 on our page.

3. How to find GCD of 517, 414, 442, 381 on a calculator?

You can find the GCD of 517, 414, 442, 381 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.