GCD of 361, 216, 353, 804 Calculator

Given Input numbers are 361, 216, 353, 804

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

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

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 361, 216, 353, 804 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 361, 216, 353, 804 is 1.

Therefore, GCD of numbers 361, 216, 353, 804 is 1

Given Input Data is 361, 216, 353, 804

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

Prime Factorization of 361 is 19 x 19

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 353 is 353

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(361, 216) = 77976

GCD(361, 216) = ( 361 x 216 ) / 77976

GCD(361, 216) = 77976 / 77976

GCD(361, 216) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 353

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

LCM(1, 353) = 353

GCD(1, 353) = ( 1 x 353 ) / 353

GCD(1, 353) = 353 / 353

GCD(1, 353) = 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 361, 216, 353, 804 is 1

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1. What is the GCD of 361, 216, 353, 804?

GCD of 361, 216, 353, 804 is 1

2. Where do I get the detailed procedure to find GCD of 361, 216, 353, 804?

You can find a detailed procedure to find GCD of 361, 216, 353, 804 on our page.

3. How to find GCD of 361, 216, 353, 804 on a calculator?

You can find the GCD of 361, 216, 353, 804 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.