GCD of 518, 544, 470, 381 Calculator

Given Input numbers are 518, 544, 470, 381

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

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 544

List of positive integer divisors of 544 that divides 544 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

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 518, 544, 470, 381 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 518, 544, 470, 381 is 1.

Therefore, GCD of numbers 518, 544, 470, 381 is 1

Given Input Data is 518, 544, 470, 381

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

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 544 is 2 x 2 x 2 x 2 x 2 x 17

Prime Factorization of 470 is 2 x 5 x 47

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(518, 544) = 140896

GCD(518, 544) = ( 518 x 544 ) / 140896

GCD(518, 544) = 281792 / 140896

GCD(518, 544) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 470

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

LCM(2, 470) = 470

GCD(2, 470) = ( 2 x 470 ) / 470

GCD(2, 470) = 940 / 470

GCD(2, 470) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 381

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

LCM(2, 381) = 762

GCD(2, 381) = ( 2 x 381 ) / 762

GCD(2, 381) = 762 / 762

GCD(2, 381) = 1

GCD of 518, 544, 470, 381 is 1

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1. What is the GCD of 518, 544, 470, 381?

GCD of 518, 544, 470, 381 is 1

2. Where do I get the detailed procedure to find GCD of 518, 544, 470, 381?

You can find a detailed procedure to find GCD of 518, 544, 470, 381 on our page.

3. How to find GCD of 518, 544, 470, 381 on a calculator?

You can find the GCD of 518, 544, 470, 381 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.