GCD of 591, 990, 38, 864 Calculator

Given Input numbers are 591, 990, 38, 864

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

Divisors of 591

List of positive integer divisors of 591 that divides 591 without a remainder.

1, 3, 197, 591

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 38

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

1, 2, 19, 38

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Greatest Common Divisior

We found the divisors of 591, 990, 38, 864 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 591, 990, 38, 864 is 1.

Therefore, GCD of numbers 591, 990, 38, 864 is 1

Given Input Data is 591, 990, 38, 864

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

Prime Factorization of 591 is 3 x 197

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 38 is 2 x 19

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

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(591, 990) = 195030

GCD(591, 990) = ( 591 x 990 ) / 195030

GCD(591, 990) = 585090 / 195030

GCD(591, 990) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 38

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

LCM(3, 38) = 114

GCD(3, 38) = ( 3 x 38 ) / 114

GCD(3, 38) = 114 / 114

GCD(3, 38) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 864

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

LCM(1, 864) = 864

GCD(1, 864) = ( 1 x 864 ) / 864

GCD(1, 864) = 864 / 864

GCD(1, 864) = 1

GCD of 591, 990, 38, 864 is 1

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1. What is the GCD of 591, 990, 38, 864?

GCD of 591, 990, 38, 864 is 1

2. Where do I get the detailed procedure to find GCD of 591, 990, 38, 864?

You can find a detailed procedure to find GCD of 591, 990, 38, 864 on our page.

3. How to find GCD of 591, 990, 38, 864 on a calculator?

You can find the GCD of 591, 990, 38, 864 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.