GCD of 444, 252, 412, 368 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 444, 252, 412, 368 i.e. 4 largest integer that divides all the numbers equally.

GCD of 444, 252, 412, 368 is 4

GCD(444, 252, 412, 368) = 4

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 444, 252, 412, 368 is 4

GCD(444, 252, 412, 368) = 4

GCD of 444,252,412,368 Calculator

GCDof 444,252,412,368 is 4

Given Input numbers are 444, 252, 412, 368

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

Divisors of 444

List of positive integer divisors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Greatest Common Divisior

We found the divisors of 444, 252, 412, 368 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 444, 252, 412, 368 is 4.

Therefore, GCD of numbers 444, 252, 412, 368 is 4

Finding GCD of 444, 252, 412, 368 using Prime Factorization

Given Input Data is 444, 252, 412, 368

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

Prime Factorization of 444 is 2 x 2 x 3 x 37

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

Prime Factorization of 412 is 2 x 2 x 103

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

Highest common occurrences in the given inputs are 22

Multiplying them we get the GCD as 4

Finding GCD of 444, 252, 412, 368 using LCM Formula

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(444, 252) = 9324

GCD(444, 252) = ( 444 x 252 ) / 9324

GCD(444, 252) = 111888 / 9324

GCD(444, 252) = 12


Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 412

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

LCM(12, 412) = 1236

GCD(12, 412) = ( 12 x 412 ) / 1236

GCD(12, 412) = 4944 / 1236

GCD(12, 412) = 4


Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 368

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

LCM(4, 368) = 368

GCD(4, 368) = ( 4 x 368 ) / 368

GCD(4, 368) = 1472 / 368

GCD(4, 368) = 4

GCD of 444, 252, 412, 368 is 4

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 444, 252, 412, 368

1. What is the GCD of 444, 252, 412, 368?

GCD of 444, 252, 412, 368 is 4


2. Where do I get the detailed procedure to find GCD of 444, 252, 412, 368?

You can find a detailed procedure to find GCD of 444, 252, 412, 368 on our page.


3. How to find GCD of 444, 252, 412, 368 on a calculator?

You can find the GCD of 444, 252, 412, 368 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.