GCD of 321, 441, 207 Calculator

Given Input numbers are 321, 441, 207

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 441

List of positive integer divisors of 441 that divides 441 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 441

Divisors of 207

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

1, 3, 9, 23, 69, 207

Greatest Common Divisior

We found the divisors of 321, 441, 207 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 321, 441, 207 is 3.

Therefore, GCD of numbers 321, 441, 207 is 3

Given Input Data is 321, 441, 207

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

Prime Factorization of 321 is 3 x 107

Prime Factorization of 441 is 3 x 3 x 7 x 7

Prime Factorization of 207 is 3 x 3 x 23

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 441) = 47187

GCD(321, 441) = ( 321 x 441 ) / 47187

GCD(321, 441) = 141561 / 47187

GCD(321, 441) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 207

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

LCM(3, 207) = 207

GCD(3, 207) = ( 3 x 207 ) / 207

GCD(3, 207) = 621 / 207

GCD(3, 207) = 3

GCD of 321, 441, 207 is 3

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1. What is the GCD of 321, 441, 207?

GCD of 321, 441, 207 is 3

2. Where do I get the detailed procedure to find GCD of 321, 441, 207?

You can find a detailed procedure to find GCD of 321, 441, 207 on our page.

3. How to find GCD of 321, 441, 207 on a calculator?

You can find the GCD of 321, 441, 207 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.