GCD of 51, 964, 585, 806 Calculator

Given Input numbers are 51, 964, 585, 806

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

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 806

List of positive integer divisors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

Greatest Common Divisior

We found the divisors of 51, 964, 585, 806 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 51, 964, 585, 806 is 1.

Therefore, GCD of numbers 51, 964, 585, 806 is 1

Given Input Data is 51, 964, 585, 806

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

Prime Factorization of 51 is 3 x 17

Prime Factorization of 964 is 2 x 2 x 241

Prime Factorization of 585 is 3 x 3 x 5 x 13

Prime Factorization of 806 is 2 x 13 x 31

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(51, 964) = 49164

GCD(51, 964) = ( 51 x 964 ) / 49164

GCD(51, 964) = 49164 / 49164

GCD(51, 964) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 585

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

LCM(1, 585) = 585

GCD(1, 585) = ( 1 x 585 ) / 585

GCD(1, 585) = 585 / 585

GCD(1, 585) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 806

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

LCM(1, 806) = 806

GCD(1, 806) = ( 1 x 806 ) / 806

GCD(1, 806) = 806 / 806

GCD(1, 806) = 1

GCD of 51, 964, 585, 806 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 24, 922, 252, 389
• GCD of 62, 192, 648, 819
• GCD of 45, 362, 858, 356
• GCD of 95, 389, 907, 326
• GCD of 53, 884, 824, 191

1. What is the GCD of 51, 964, 585, 806?

GCD of 51, 964, 585, 806 is 1

2. Where do I get the detailed procedure to find GCD of 51, 964, 585, 806?

You can find a detailed procedure to find GCD of 51, 964, 585, 806 on our page.

3. How to find GCD of 51, 964, 585, 806 on a calculator?

You can find the GCD of 51, 964, 585, 806 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.