GCD of 804, 990, 328, 749 Calculator

Given Input numbers are 804, 990, 328, 749

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 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 328

List of positive integer divisors of 328 that divides 328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 328

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Greatest Common Divisior

We found the divisors of 804, 990, 328, 749 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 804, 990, 328, 749 is 1.

Therefore, GCD of numbers 804, 990, 328, 749 is 1

Given Input Data is 804, 990, 328, 749

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 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 328 is 2 x 2 x 2 x 41

Prime Factorization of 749 is 7 x 107

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(804, 990) = 132660

GCD(804, 990) = ( 804 x 990 ) / 132660

GCD(804, 990) = 795960 / 132660

GCD(804, 990) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 328

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

LCM(6, 328) = 984

GCD(6, 328) = ( 6 x 328 ) / 984

GCD(6, 328) = 1968 / 984

GCD(6, 328) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 749

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

LCM(2, 749) = 1498

GCD(2, 749) = ( 2 x 749 ) / 1498

GCD(2, 749) = 1498 / 1498

GCD(2, 749) = 1

GCD of 804, 990, 328, 749 is 1

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1. What is the GCD of 804, 990, 328, 749?

GCD of 804, 990, 328, 749 is 1

2. Where do I get the detailed procedure to find GCD of 804, 990, 328, 749?

You can find a detailed procedure to find GCD of 804, 990, 328, 749 on our page.

3. How to find GCD of 804, 990, 328, 749 on a calculator?

You can find the GCD of 804, 990, 328, 749 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.