GCD of 36, 473, 559, 508 Calculator

Given Input numbers are 36, 473, 559, 508

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

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 473

List of positive integer divisors of 473 that divides 473 without a remainder.

1, 11, 43, 473

Divisors of 559

List of positive integer divisors of 559 that divides 559 without a remainder.

1, 13, 43, 559

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Greatest Common Divisior

We found the divisors of 36, 473, 559, 508 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 473, 559, 508 is 1.

Therefore, GCD of numbers 36, 473, 559, 508 is 1

Given Input Data is 36, 473, 559, 508

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

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

Prime Factorization of 473 is 11 x 43

Prime Factorization of 559 is 13 x 43

Prime Factorization of 508 is 2 x 2 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(36, 473) = 17028

GCD(36, 473) = ( 36 x 473 ) / 17028

GCD(36, 473) = 17028 / 17028

GCD(36, 473) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 559

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

LCM(1, 559) = 559

GCD(1, 559) = ( 1 x 559 ) / 559

GCD(1, 559) = 559 / 559

GCD(1, 559) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 508

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

LCM(1, 508) = 508

GCD(1, 508) = ( 1 x 508 ) / 508

GCD(1, 508) = 508 / 508

GCD(1, 508) = 1

GCD of 36, 473, 559, 508 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 72, 606, 489, 823
• GCD of 72, 898, 384, 747
• GCD of 94, 937, 192, 714
• GCD of 37, 530, 693, 944
• GCD of 15, 247, 331, 938

1. What is the GCD of 36, 473, 559, 508?

GCD of 36, 473, 559, 508 is 1

2. Where do I get the detailed procedure to find GCD of 36, 473, 559, 508?

You can find a detailed procedure to find GCD of 36, 473, 559, 508 on our page.

3. How to find GCD of 36, 473, 559, 508 on a calculator?

You can find the GCD of 36, 473, 559, 508 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.