GCD of 604, 678, 802, 394 Calculator

Given Input numbers are 604, 678, 802, 394

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

Divisors of 604

List of positive integer divisors of 604 that divides 604 without a remainder.

1, 2, 4, 151, 302, 604

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Divisors of 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Greatest Common Divisior

We found the divisors of 604, 678, 802, 394 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 604, 678, 802, 394 is 2.

Therefore, GCD of numbers 604, 678, 802, 394 is 2

Given Input Data is 604, 678, 802, 394

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

Prime Factorization of 604 is 2 x 2 x 151

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 802 is 2 x 401

Prime Factorization of 394 is 2 x 197

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(604, 678) = 204756

GCD(604, 678) = ( 604 x 678 ) / 204756

GCD(604, 678) = 409512 / 204756

GCD(604, 678) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 802

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

LCM(2, 802) = 802

GCD(2, 802) = ( 2 x 802 ) / 802

GCD(2, 802) = 1604 / 802

GCD(2, 802) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 394

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

LCM(2, 394) = 394

GCD(2, 394) = ( 2 x 394 ) / 394

GCD(2, 394) = 788 / 394

GCD(2, 394) = 2

GCD of 604, 678, 802, 394 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 676, 185, 596, 683
• GCD of 308, 171, 802, 683
• GCD of 638, 548, 600, 200
• GCD of 606, 354, 911, 304
• GCD of 927, 595, 386, 333

1. What is the GCD of 604, 678, 802, 394?

GCD of 604, 678, 802, 394 is 2

2. Where do I get the detailed procedure to find GCD of 604, 678, 802, 394?

You can find a detailed procedure to find GCD of 604, 678, 802, 394 on our page.

3. How to find GCD of 604, 678, 802, 394 on a calculator?

You can find the GCD of 604, 678, 802, 394 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.