GCD of 321, 207, 804, 119 Calculator

Given Input numbers are 321, 207, 804, 119

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

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

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 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Greatest Common Divisior

We found the divisors of 321, 207, 804, 119 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 321, 207, 804, 119 is 1.

Therefore, GCD of numbers 321, 207, 804, 119 is 1

Given Input Data is 321, 207, 804, 119

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

Prime Factorization of 321 is 3 x 107

Prime Factorization of 207 is 3 x 3 x 23

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

Prime Factorization of 119 is 7 x 17

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(321, 207) = 22149

GCD(321, 207) = ( 321 x 207 ) / 22149

GCD(321, 207) = 66447 / 22149

GCD(321, 207) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 804

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

LCM(3, 804) = 804

GCD(3, 804) = ( 3 x 804 ) / 804

GCD(3, 804) = 2412 / 804

GCD(3, 804) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 119

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

LCM(3, 119) = 357

GCD(3, 119) = ( 3 x 119 ) / 357

GCD(3, 119) = 357 / 357

GCD(3, 119) = 1

GCD of 321, 207, 804, 119 is 1

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1. What is the GCD of 321, 207, 804, 119?

GCD of 321, 207, 804, 119 is 1

2. Where do I get the detailed procedure to find GCD of 321, 207, 804, 119?

You can find a detailed procedure to find GCD of 321, 207, 804, 119 on our page.

3. How to find GCD of 321, 207, 804, 119 on a calculator?

You can find the GCD of 321, 207, 804, 119 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.