GCD of 993, 264, 13, 806 Calculator

Given Input numbers are 993, 264, 13, 806

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

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

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 993, 264, 13, 806 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 993, 264, 13, 806 is 1.

Therefore, GCD of numbers 993, 264, 13, 806 is 1

Given Input Data is 993, 264, 13, 806

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

Prime Factorization of 993 is 3 x 331

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 13 is 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(993, 264) = 87384

GCD(993, 264) = ( 993 x 264 ) / 87384

GCD(993, 264) = 262152 / 87384

GCD(993, 264) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 13

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

LCM(3, 13) = 39

GCD(3, 13) = ( 3 x 13 ) / 39

GCD(3, 13) = 39 / 39

GCD(3, 13) = 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 993, 264, 13, 806 is 1

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1. What is the GCD of 993, 264, 13, 806?

GCD of 993, 264, 13, 806 is 1

2. Where do I get the detailed procedure to find GCD of 993, 264, 13, 806?

You can find a detailed procedure to find GCD of 993, 264, 13, 806 on our page.

3. How to find GCD of 993, 264, 13, 806 on a calculator?

You can find the GCD of 993, 264, 13, 806 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.