GCD of 321, 630, 144, 239 Calculator

Given Input numbers are 321, 630, 144, 239

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 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 239

List of positive integer divisors of 239 that divides 239 without a remainder.

1, 239

Greatest Common Divisior

We found the divisors of 321, 630, 144, 239 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 321, 630, 144, 239 is 1.

Therefore, GCD of numbers 321, 630, 144, 239 is 1

Given Input Data is 321, 630, 144, 239

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

Prime Factorization of 321 is 3 x 107

Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 239 is 239

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, 630) = 67410

GCD(321, 630) = ( 321 x 630 ) / 67410

GCD(321, 630) = 202230 / 67410

GCD(321, 630) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 144

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

LCM(3, 144) = 144

GCD(3, 144) = ( 3 x 144 ) / 144

GCD(3, 144) = 432 / 144

GCD(3, 144) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 239

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

LCM(3, 239) = 717

GCD(3, 239) = ( 3 x 239 ) / 717

GCD(3, 239) = 717 / 717

GCD(3, 239) = 1

GCD of 321, 630, 144, 239 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 129, 799, 764, 607
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1. What is the GCD of 321, 630, 144, 239?

GCD of 321, 630, 144, 239 is 1

2. Where do I get the detailed procedure to find GCD of 321, 630, 144, 239?

You can find a detailed procedure to find GCD of 321, 630, 144, 239 on our page.

3. How to find GCD of 321, 630, 144, 239 on a calculator?

You can find the GCD of 321, 630, 144, 239 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.