GCD of 258, 395, 355, 804 Calculator

Given Input numbers are 258, 395, 355, 804

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

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 395

List of positive integer divisors of 395 that divides 395 without a remainder.

1, 5, 79, 395

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

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

Greatest Common Divisior

We found the divisors of 258, 395, 355, 804 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 258, 395, 355, 804 is 1.

Therefore, GCD of numbers 258, 395, 355, 804 is 1

Given Input Data is 258, 395, 355, 804

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

Prime Factorization of 258 is 2 x 3 x 43

Prime Factorization of 395 is 5 x 79

Prime Factorization of 355 is 5 x 71

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

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(258, 395) = 101910

GCD(258, 395) = ( 258 x 395 ) / 101910

GCD(258, 395) = 101910 / 101910

GCD(258, 395) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 355

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

LCM(1, 355) = 355

GCD(1, 355) = ( 1 x 355 ) / 355

GCD(1, 355) = 355 / 355

GCD(1, 355) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 804

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

LCM(1, 804) = 804

GCD(1, 804) = ( 1 x 804 ) / 804

GCD(1, 804) = 804 / 804

GCD(1, 804) = 1

GCD of 258, 395, 355, 804 is 1

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1. What is the GCD of 258, 395, 355, 804?

GCD of 258, 395, 355, 804 is 1

2. Where do I get the detailed procedure to find GCD of 258, 395, 355, 804?

You can find a detailed procedure to find GCD of 258, 395, 355, 804 on our page.

3. How to find GCD of 258, 395, 355, 804 on a calculator?

You can find the GCD of 258, 395, 355, 804 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.