GCD of 816, 993, 407, 926 Calculator

Given Input numbers are 816, 993, 407, 926

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

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 993

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

1, 3, 331, 993

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 926

List of positive integer divisors of 926 that divides 926 without a remainder.

1, 2, 463, 926

Greatest Common Divisior

We found the divisors of 816, 993, 407, 926 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 816, 993, 407, 926 is 1.

Therefore, GCD of numbers 816, 993, 407, 926 is 1

Given Input Data is 816, 993, 407, 926

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

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

Prime Factorization of 993 is 3 x 331

Prime Factorization of 407 is 11 x 37

Prime Factorization of 926 is 2 x 463

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(816, 993) = 270096

GCD(816, 993) = ( 816 x 993 ) / 270096

GCD(816, 993) = 810288 / 270096

GCD(816, 993) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 407

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

LCM(3, 407) = 1221

GCD(3, 407) = ( 3 x 407 ) / 1221

GCD(3, 407) = 1221 / 1221

GCD(3, 407) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 926

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

LCM(1, 926) = 926

GCD(1, 926) = ( 1 x 926 ) / 926

GCD(1, 926) = 926 / 926

GCD(1, 926) = 1

GCD of 816, 993, 407, 926 is 1

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1. What is the GCD of 816, 993, 407, 926?

GCD of 816, 993, 407, 926 is 1

2. Where do I get the detailed procedure to find GCD of 816, 993, 407, 926?

You can find a detailed procedure to find GCD of 816, 993, 407, 926 on our page.

3. How to find GCD of 816, 993, 407, 926 on a calculator?

You can find the GCD of 816, 993, 407, 926 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.