GCD of 38, 330, 899, 580 Calculator

Given Input numbers are 38, 330, 899, 580

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

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Greatest Common Divisior

We found the divisors of 38, 330, 899, 580 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 38, 330, 899, 580 is 1.

Therefore, GCD of numbers 38, 330, 899, 580 is 1

Given Input Data is 38, 330, 899, 580

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

Prime Factorization of 38 is 2 x 19

Prime Factorization of 330 is 2 x 3 x 5 x 11

Prime Factorization of 899 is 29 x 31

Prime Factorization of 580 is 2 x 2 x 5 x 29

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(38, 330) = 6270

GCD(38, 330) = ( 38 x 330 ) / 6270

GCD(38, 330) = 12540 / 6270

GCD(38, 330) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 899

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

LCM(2, 899) = 1798

GCD(2, 899) = ( 2 x 899 ) / 1798

GCD(2, 899) = 1798 / 1798

GCD(2, 899) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 580

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

LCM(1, 580) = 580

GCD(1, 580) = ( 1 x 580 ) / 580

GCD(1, 580) = 580 / 580

GCD(1, 580) = 1

GCD of 38, 330, 899, 580 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 25, 357, 674, 391
• GCD of 70, 409, 827, 114
• GCD of 15, 955, 186, 286
• GCD of 62, 143, 779, 654
• GCD of 20, 563, 836, 401

1. What is the GCD of 38, 330, 899, 580?

GCD of 38, 330, 899, 580 is 1

2. Where do I get the detailed procedure to find GCD of 38, 330, 899, 580?

You can find a detailed procedure to find GCD of 38, 330, 899, 580 on our page.

3. How to find GCD of 38, 330, 899, 580 on a calculator?

You can find the GCD of 38, 330, 899, 580 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.