GCD of 423, 994, 76, 774 Calculator

Given Input numbers are 423, 994, 76, 774

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

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

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

Greatest Common Divisior

We found the divisors of 423, 994, 76, 774 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 423, 994, 76, 774 is 1.

Therefore, GCD of numbers 423, 994, 76, 774 is 1

Given Input Data is 423, 994, 76, 774

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

Prime Factorization of 423 is 3 x 3 x 47

Prime Factorization of 994 is 2 x 7 x 71

Prime Factorization of 76 is 2 x 2 x 19

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

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(423, 994) = 420462

GCD(423, 994) = ( 423 x 994 ) / 420462

GCD(423, 994) = 420462 / 420462

GCD(423, 994) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 76

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

LCM(1, 76) = 76

GCD(1, 76) = ( 1 x 76 ) / 76

GCD(1, 76) = 76 / 76

GCD(1, 76) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 774

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

LCM(1, 774) = 774

GCD(1, 774) = ( 1 x 774 ) / 774

GCD(1, 774) = 774 / 774

GCD(1, 774) = 1

GCD of 423, 994, 76, 774 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 916, 511, 90, 681
• GCD of 384, 597, 52, 347
• GCD of 924, 790, 50, 975
• GCD of 199, 222, 91, 985
• GCD of 139, 922, 97, 753

1. What is the GCD of 423, 994, 76, 774?

GCD of 423, 994, 76, 774 is 1

2. Where do I get the detailed procedure to find GCD of 423, 994, 76, 774?

You can find a detailed procedure to find GCD of 423, 994, 76, 774 on our page.

3. How to find GCD of 423, 994, 76, 774 on a calculator?

You can find the GCD of 423, 994, 76, 774 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.