GCD of 144, 399, 468, 936 Calculator

Given Input numbers are 144, 399, 468, 936

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

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 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 936

List of positive integer divisors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Greatest Common Divisior

We found the divisors of 144, 399, 468, 936 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 144, 399, 468, 936 is 3.

Therefore, GCD of numbers 144, 399, 468, 936 is 3

Given Input Data is 144, 399, 468, 936

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

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

Prime Factorization of 399 is 3 x 7 x 19

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13

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(144, 399) = 19152

GCD(144, 399) = ( 144 x 399 ) / 19152

GCD(144, 399) = 57456 / 19152

GCD(144, 399) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 468

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

LCM(3, 468) = 468

GCD(3, 468) = ( 3 x 468 ) / 468

GCD(3, 468) = 1404 / 468

GCD(3, 468) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 936

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

LCM(3, 936) = 936

GCD(3, 936) = ( 3 x 936 ) / 936

GCD(3, 936) = 2808 / 936

GCD(3, 936) = 3

GCD of 144, 399, 468, 936 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 830, 993, 230, 871
• GCD of 360, 845, 100, 550
• GCD of 949, 202, 884, 914
• GCD of 626, 238, 339, 696
• GCD of 416, 797, 565, 333

1. What is the GCD of 144, 399, 468, 936?

GCD of 144, 399, 468, 936 is 3

2. Where do I get the detailed procedure to find GCD of 144, 399, 468, 936?

You can find a detailed procedure to find GCD of 144, 399, 468, 936 on our page.

3. How to find GCD of 144, 399, 468, 936 on a calculator?

You can find the GCD of 144, 399, 468, 936 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.