GCD of 12, 112, 483, 669 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 12, 112, 483, 669 i.e. 1 largest integer that divides all the numbers equally.

GCD of 12, 112, 483, 669 is 1

GCD(12, 112, 483, 669) = 1

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

GCD of

GCD of numbers 12, 112, 483, 669 is 1

GCD(12, 112, 483, 669) = 1

GCD of 12,112,483,669 Calculator

GCDof 12,112,483,669 is 1

Given Input numbers are 12, 112, 483, 669

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

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 483

List of positive integer divisors of 483 that divides 483 without a remainder.

1, 3, 7, 21, 23, 69, 161, 483

Divisors of 669

List of positive integer divisors of 669 that divides 669 without a remainder.

1, 3, 223, 669

Greatest Common Divisior

We found the divisors of 12, 112, 483, 669 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 112, 483, 669 is 1.

Therefore, GCD of numbers 12, 112, 483, 669 is 1

Finding GCD of 12, 112, 483, 669 using Prime Factorization

Given Input Data is 12, 112, 483, 669

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

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 483 is 3 x 7 x 23

Prime Factorization of 669 is 3 x 223

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 12, 112, 483, 669 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(12, 112) = 336

GCD(12, 112) = ( 12 x 112 ) / 336

GCD(12, 112) = 1344 / 336

GCD(12, 112) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 483

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

LCM(4, 483) = 1932

GCD(4, 483) = ( 4 x 483 ) / 1932

GCD(4, 483) = 1932 / 1932

GCD(4, 483) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 669

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

LCM(1, 669) = 669

GCD(1, 669) = ( 1 x 669 ) / 669

GCD(1, 669) = 669 / 669

GCD(1, 669) = 1

GCD of 12, 112, 483, 669 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 12, 112, 483, 669

1. What is the GCD of 12, 112, 483, 669?

GCD of 12, 112, 483, 669 is 1


2. Where do I get the detailed procedure to find GCD of 12, 112, 483, 669?

You can find a detailed procedure to find GCD of 12, 112, 483, 669 on our page.


3. How to find GCD of 12, 112, 483, 669 on a calculator?

You can find the GCD of 12, 112, 483, 669 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.