GCD of 996, 144, 216, 389 Calculator

Given Input numbers are 996, 144, 216, 389

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

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

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 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 389

List of positive integer divisors of 389 that divides 389 without a remainder.

1, 389

Greatest Common Divisior

We found the divisors of 996, 144, 216, 389 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 996, 144, 216, 389 is 1.

Therefore, GCD of numbers 996, 144, 216, 389 is 1

Given Input Data is 996, 144, 216, 389

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

Prime Factorization of 996 is 2 x 2 x 3 x 83

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

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

Prime Factorization of 389 is 389

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(996, 144) = 11952

GCD(996, 144) = ( 996 x 144 ) / 11952

GCD(996, 144) = 143424 / 11952

GCD(996, 144) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 216

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

LCM(12, 216) = 216

GCD(12, 216) = ( 12 x 216 ) / 216

GCD(12, 216) = 2592 / 216

GCD(12, 216) = 12

Step3:

Here we consider the GCD from the above i.e. 12 as first number and the next as 389

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

LCM(12, 389) = 4668

GCD(12, 389) = ( 12 x 389 ) / 4668

GCD(12, 389) = 4668 / 4668

GCD(12, 389) = 1

GCD of 996, 144, 216, 389 is 1

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• GCD of 131, 295, 447, 719
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1. What is the GCD of 996, 144, 216, 389?

GCD of 996, 144, 216, 389 is 1

2. Where do I get the detailed procedure to find GCD of 996, 144, 216, 389?

You can find a detailed procedure to find GCD of 996, 144, 216, 389 on our page.

3. How to find GCD of 996, 144, 216, 389 on a calculator?

You can find the GCD of 996, 144, 216, 389 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.