GCD of 539, 517, 36, 381 Calculator

Given Input numbers are 539, 517, 36, 381

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

Divisors of 539

List of positive integer divisors of 539 that divides 539 without a remainder.

1, 7, 11, 49, 77, 539

Divisors of 517

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

1, 11, 47, 517

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

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 539, 517, 36, 381 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 539, 517, 36, 381 is 1.

Therefore, GCD of numbers 539, 517, 36, 381 is 1

Given Input Data is 539, 517, 36, 381

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

Prime Factorization of 539 is 7 x 7 x 11

Prime Factorization of 517 is 11 x 47

Prime Factorization of 36 is 2 x 2 x 3 x 3

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(539, 517) = 25333

GCD(539, 517) = ( 539 x 517 ) / 25333

GCD(539, 517) = 278663 / 25333

GCD(539, 517) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 36

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

LCM(11, 36) = 396

GCD(11, 36) = ( 11 x 36 ) / 396

GCD(11, 36) = 396 / 396

GCD(11, 36) = 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 539, 517, 36, 381 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 803, 257, 55, 216
• GCD of 749, 993, 72, 287
• GCD of 783, 928, 14, 837
• GCD of 238, 825, 37, 744
• GCD of 125, 523, 36, 234

1. What is the GCD of 539, 517, 36, 381?

GCD of 539, 517, 36, 381 is 1

2. Where do I get the detailed procedure to find GCD of 539, 517, 36, 381?

You can find a detailed procedure to find GCD of 539, 517, 36, 381 on our page.

3. How to find GCD of 539, 517, 36, 381 on a calculator?

You can find the GCD of 539, 517, 36, 381 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.