GCD of 39, 590, 699, 556 Calculator

Given Input numbers are 39, 590, 699, 556

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

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Divisors of 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

Greatest Common Divisior

We found the divisors of 39, 590, 699, 556 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 39, 590, 699, 556 is 1.

Therefore, GCD of numbers 39, 590, 699, 556 is 1

Given Input Data is 39, 590, 699, 556

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

Prime Factorization of 39 is 3 x 13

Prime Factorization of 590 is 2 x 5 x 59

Prime Factorization of 699 is 3 x 233

Prime Factorization of 556 is 2 x 2 x 139

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(39, 590) = 23010

GCD(39, 590) = ( 39 x 590 ) / 23010

GCD(39, 590) = 23010 / 23010

GCD(39, 590) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 699

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

LCM(1, 699) = 699

GCD(1, 699) = ( 1 x 699 ) / 699

GCD(1, 699) = 699 / 699

GCD(1, 699) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 556

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

LCM(1, 556) = 556

GCD(1, 556) = ( 1 x 556 ) / 556

GCD(1, 556) = 556 / 556

GCD(1, 556) = 1

GCD of 39, 590, 699, 556 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 20, 306, 625, 555
• GCD of 47, 136, 399, 588
• GCD of 87, 411, 439, 801
• GCD of 15, 218, 340, 466
• GCD of 49, 393, 255, 725

1. What is the GCD of 39, 590, 699, 556?

GCD of 39, 590, 699, 556 is 1

2. Where do I get the detailed procedure to find GCD of 39, 590, 699, 556?

You can find a detailed procedure to find GCD of 39, 590, 699, 556 on our page.

3. How to find GCD of 39, 590, 699, 556 on a calculator?

You can find the GCD of 39, 590, 699, 556 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.