GCD of 381, 558, 517, 379 Calculator

Given Input numbers are 381, 558, 517, 379

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

Divisors of 381

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

1, 3, 127, 381

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 517

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

1, 11, 47, 517

Divisors of 379

List of positive integer divisors of 379 that divides 379 without a remainder.

1, 379

Greatest Common Divisior

We found the divisors of 381, 558, 517, 379 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 381, 558, 517, 379 is 1.

Therefore, GCD of numbers 381, 558, 517, 379 is 1

Given Input Data is 381, 558, 517, 379

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

Prime Factorization of 381 is 3 x 127

Prime Factorization of 558 is 2 x 3 x 3 x 31

Prime Factorization of 517 is 11 x 47

Prime Factorization of 379 is 379

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(381, 558) = 70866

GCD(381, 558) = ( 381 x 558 ) / 70866

GCD(381, 558) = 212598 / 70866

GCD(381, 558) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 517

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

LCM(3, 517) = 1551

GCD(3, 517) = ( 3 x 517 ) / 1551

GCD(3, 517) = 1551 / 1551

GCD(3, 517) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 379

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

LCM(1, 379) = 379

GCD(1, 379) = ( 1 x 379 ) / 379

GCD(1, 379) = 379 / 379

GCD(1, 379) = 1

GCD of 381, 558, 517, 379 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 488, 901, 972, 404
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1. What is the GCD of 381, 558, 517, 379?

GCD of 381, 558, 517, 379 is 1

2. Where do I get the detailed procedure to find GCD of 381, 558, 517, 379?

You can find a detailed procedure to find GCD of 381, 558, 517, 379 on our page.

3. How to find GCD of 381, 558, 517, 379 on a calculator?

You can find the GCD of 381, 558, 517, 379 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.