GCD of 894, 628, 408, 399 Calculator

Given Input numbers are 894, 628, 408, 399

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

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Greatest Common Divisior

We found the divisors of 894, 628, 408, 399 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 894, 628, 408, 399 is 1.

Therefore, GCD of numbers 894, 628, 408, 399 is 1

Given Input Data is 894, 628, 408, 399

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

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 399 is 3 x 7 x 19

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(894, 628) = 280716

GCD(894, 628) = ( 894 x 628 ) / 280716

GCD(894, 628) = 561432 / 280716

GCD(894, 628) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 408

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

LCM(2, 408) = 408

GCD(2, 408) = ( 2 x 408 ) / 408

GCD(2, 408) = 816 / 408

GCD(2, 408) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 399

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

LCM(2, 399) = 798

GCD(2, 399) = ( 2 x 399 ) / 798

GCD(2, 399) = 798 / 798

GCD(2, 399) = 1

GCD of 894, 628, 408, 399 is 1

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1. What is the GCD of 894, 628, 408, 399?

GCD of 894, 628, 408, 399 is 1

2. Where do I get the detailed procedure to find GCD of 894, 628, 408, 399?

You can find a detailed procedure to find GCD of 894, 628, 408, 399 on our page.

3. How to find GCD of 894, 628, 408, 399 on a calculator?

You can find the GCD of 894, 628, 408, 399 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.