GCD of 37, 339, 598, 508 Calculator

Given Input numbers are 37, 339, 598, 508

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

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 339

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

1, 3, 113, 339

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

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 37, 339, 598, 508 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 37, 339, 598, 508 is 1.

Therefore, GCD of numbers 37, 339, 598, 508 is 1

Given Input Data is 37, 339, 598, 508

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

Prime Factorization of 37 is 37

Prime Factorization of 339 is 3 x 113

Prime Factorization of 598 is 2 x 13 x 23

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(37, 339) = 12543

GCD(37, 339) = ( 37 x 339 ) / 12543

GCD(37, 339) = 12543 / 12543

GCD(37, 339) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 598

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

LCM(1, 598) = 598

GCD(1, 598) = ( 1 x 598 ) / 598

GCD(1, 598) = 598 / 598

GCD(1, 598) = 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 37, 339, 598, 508 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 68, 848, 808, 776
• GCD of 36, 335, 823, 367
• GCD of 50, 594, 290, 922
• GCD of 21, 809, 504, 157
• GCD of 96, 678, 612, 729

1. What is the GCD of 37, 339, 598, 508?

GCD of 37, 339, 598, 508 is 1

2. Where do I get the detailed procedure to find GCD of 37, 339, 598, 508?

You can find a detailed procedure to find GCD of 37, 339, 598, 508 on our page.

3. How to find GCD of 37, 339, 598, 508 on a calculator?

You can find the GCD of 37, 339, 598, 508 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.