GCD of 536, 284, 17, 339 Calculator

Given Input numbers are 536, 284, 17, 339

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

Divisors of 536

List of positive integer divisors of 536 that divides 536 without a remainder.

1, 2, 4, 8, 67, 134, 268, 536

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 339

List of positive integer divisors of 339 that divides 339 without a remainder.

1, 3, 113, 339

Greatest Common Divisior

We found the divisors of 536, 284, 17, 339 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 536, 284, 17, 339 is 1.

Therefore, GCD of numbers 536, 284, 17, 339 is 1

Given Input Data is 536, 284, 17, 339

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

Prime Factorization of 536 is 2 x 2 x 2 x 67

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 17 is 17

Prime Factorization of 339 is 3 x 113

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(536, 284) = 38056

GCD(536, 284) = ( 536 x 284 ) / 38056

GCD(536, 284) = 152224 / 38056

GCD(536, 284) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 17

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

LCM(4, 17) = 68

GCD(4, 17) = ( 4 x 17 ) / 68

GCD(4, 17) = 68 / 68

GCD(4, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 339

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

LCM(1, 339) = 339

GCD(1, 339) = ( 1 x 339 ) / 339

GCD(1, 339) = 339 / 339

GCD(1, 339) = 1

GCD of 536, 284, 17, 339 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 368, 383, 83, 749
• GCD of 420, 636, 14, 429
• GCD of 282, 513, 92, 630
• GCD of 180, 350, 22, 162
• GCD of 731, 695, 94, 656

1. What is the GCD of 536, 284, 17, 339?

GCD of 536, 284, 17, 339 is 1

2. Where do I get the detailed procedure to find GCD of 536, 284, 17, 339?

You can find a detailed procedure to find GCD of 536, 284, 17, 339 on our page.

3. How to find GCD of 536, 284, 17, 339 on a calculator?

You can find the GCD of 536, 284, 17, 339 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.