GCD of 412, 442, 768, 671 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 412, 442, 768, 671 i.e. 1 largest integer that divides all the numbers equally.

GCD of 412, 442, 768, 671 is 1

GCD(412, 442, 768, 671) = 1

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

GCD of

GCD of numbers 412, 442, 768, 671 is 1

GCD(412, 442, 768, 671) = 1

GCD of 412,442,768,671 Calculator

GCDof 412,442,768,671 is 1

Given Input numbers are 412, 442, 768, 671

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

Divisors of 412

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

1, 2, 4, 103, 206, 412

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 671

List of positive integer divisors of 671 that divides 671 without a remainder.

1, 11, 61, 671

Greatest Common Divisior

We found the divisors of 412, 442, 768, 671 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 412, 442, 768, 671 is 1.

Therefore, GCD of numbers 412, 442, 768, 671 is 1

Finding GCD of 412, 442, 768, 671 using Prime Factorization

Given Input Data is 412, 442, 768, 671

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

Prime Factorization of 412 is 2 x 2 x 103

Prime Factorization of 442 is 2 x 13 x 17

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 671 is 11 x 61

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

Finding GCD of 412, 442, 768, 671 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(412, 442) = 91052

GCD(412, 442) = ( 412 x 442 ) / 91052

GCD(412, 442) = 182104 / 91052

GCD(412, 442) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 768

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

LCM(2, 768) = 768

GCD(2, 768) = ( 2 x 768 ) / 768

GCD(2, 768) = 1536 / 768

GCD(2, 768) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 671

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

LCM(2, 671) = 1342

GCD(2, 671) = ( 2 x 671 ) / 1342

GCD(2, 671) = 1342 / 1342

GCD(2, 671) = 1

GCD of 412, 442, 768, 671 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 412, 442, 768, 671

1. What is the GCD of 412, 442, 768, 671?

GCD of 412, 442, 768, 671 is 1


2. Where do I get the detailed procedure to find GCD of 412, 442, 768, 671?

You can find a detailed procedure to find GCD of 412, 442, 768, 671 on our page.


3. How to find GCD of 412, 442, 768, 671 on a calculator?

You can find the GCD of 412, 442, 768, 671 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.