GCD of 44, 912, 916, 823 Calculator

Given Input numbers are 44, 912, 916, 823

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

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 912

List of positive integer divisors of 912 that divides 912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

Greatest Common Divisior

We found the divisors of 44, 912, 916, 823 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 44, 912, 916, 823 is 1.

Therefore, GCD of numbers 44, 912, 916, 823 is 1

Given Input Data is 44, 912, 916, 823

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

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 823 is 823

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(44, 912) = 10032

GCD(44, 912) = ( 44 x 912 ) / 10032

GCD(44, 912) = 40128 / 10032

GCD(44, 912) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 916

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

LCM(4, 916) = 916

GCD(4, 916) = ( 4 x 916 ) / 916

GCD(4, 916) = 3664 / 916

GCD(4, 916) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 823

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

LCM(4, 823) = 3292

GCD(4, 823) = ( 4 x 823 ) / 3292

GCD(4, 823) = 3292 / 3292

GCD(4, 823) = 1

GCD of 44, 912, 916, 823 is 1

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1. What is the GCD of 44, 912, 916, 823?

GCD of 44, 912, 916, 823 is 1

2. Where do I get the detailed procedure to find GCD of 44, 912, 916, 823?

You can find a detailed procedure to find GCD of 44, 912, 916, 823 on our page.

3. How to find GCD of 44, 912, 916, 823 on a calculator?

You can find the GCD of 44, 912, 916, 823 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.