GCD of 774, 111, 896, 923 Calculator

Given Input numbers are 774, 111, 896, 923

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

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 923

List of positive integer divisors of 923 that divides 923 without a remainder.

1, 13, 71, 923

Greatest Common Divisior

We found the divisors of 774, 111, 896, 923 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 774, 111, 896, 923 is 1.

Therefore, GCD of numbers 774, 111, 896, 923 is 1

Given Input Data is 774, 111, 896, 923

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

Prime Factorization of 774 is 2 x 3 x 3 x 43

Prime Factorization of 111 is 3 x 37

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 923 is 13 x 71

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(774, 111) = 28638

GCD(774, 111) = ( 774 x 111 ) / 28638

GCD(774, 111) = 85914 / 28638

GCD(774, 111) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 896

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

LCM(3, 896) = 2688

GCD(3, 896) = ( 3 x 896 ) / 2688

GCD(3, 896) = 2688 / 2688

GCD(3, 896) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 923

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

LCM(1, 923) = 923

GCD(1, 923) = ( 1 x 923 ) / 923

GCD(1, 923) = 923 / 923

GCD(1, 923) = 1

GCD of 774, 111, 896, 923 is 1

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1. What is the GCD of 774, 111, 896, 923?

GCD of 774, 111, 896, 923 is 1

2. Where do I get the detailed procedure to find GCD of 774, 111, 896, 923?

You can find a detailed procedure to find GCD of 774, 111, 896, 923 on our page.

3. How to find GCD of 774, 111, 896, 923 on a calculator?

You can find the GCD of 774, 111, 896, 923 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.