GCD of 804, 957, 423, 774 Calculator

Given Input numbers are 804, 957, 423, 774

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

Divisors of 804

List of positive integer divisors of 804 that divides 804 without a remainder.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 957

List of positive integer divisors of 957 that divides 957 without a remainder.

1, 3, 11, 29, 33, 87, 319, 957

Divisors of 423

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

1, 3, 9, 47, 141, 423

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 804, 957, 423, 774 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 804, 957, 423, 774 is 3.

Therefore, GCD of numbers 804, 957, 423, 774 is 3

Given Input Data is 804, 957, 423, 774

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

Prime Factorization of 804 is 2 x 2 x 3 x 67

Prime Factorization of 957 is 3 x 11 x 29

Prime Factorization of 423 is 3 x 3 x 47

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

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(804, 957) = 256476

GCD(804, 957) = ( 804 x 957 ) / 256476

GCD(804, 957) = 769428 / 256476

GCD(804, 957) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 423

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

LCM(3, 423) = 423

GCD(3, 423) = ( 3 x 423 ) / 423

GCD(3, 423) = 1269 / 423

GCD(3, 423) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 774

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

LCM(3, 774) = 774

GCD(3, 774) = ( 3 x 774 ) / 774

GCD(3, 774) = 2322 / 774

GCD(3, 774) = 3

GCD of 804, 957, 423, 774 is 3

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1. What is the GCD of 804, 957, 423, 774?

GCD of 804, 957, 423, 774 is 3

2. Where do I get the detailed procedure to find GCD of 804, 957, 423, 774?

You can find a detailed procedure to find GCD of 804, 957, 423, 774 on our page.

3. How to find GCD of 804, 957, 423, 774 on a calculator?

You can find the GCD of 804, 957, 423, 774 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.