GCD of 442, 167, 47, 306 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 442, 167, 47, 306 i.e. 1 largest integer that divides all the numbers equally.

GCD of 442, 167, 47, 306 is 1

GCD(442, 167, 47, 306) = 1

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

GCD of

GCD of numbers 442, 167, 47, 306 is 1

GCD(442, 167, 47, 306) = 1

GCD of 442,167,47,306 Calculator

GCDof 442,167,47,306 is 1

Given Input numbers are 442, 167, 47, 306

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

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 167

List of positive integer divisors of 167 that divides 167 without a remainder.

1, 167

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Greatest Common Divisior

We found the divisors of 442, 167, 47, 306 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 442, 167, 47, 306 is 1.

Therefore, GCD of numbers 442, 167, 47, 306 is 1

Finding GCD of 442, 167, 47, 306 using Prime Factorization

Given Input Data is 442, 167, 47, 306

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

Prime Factorization of 442 is 2 x 13 x 17

Prime Factorization of 167 is 167

Prime Factorization of 47 is 47

Prime Factorization of 306 is 2 x 3 x 3 x 17

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

Finding GCD of 442, 167, 47, 306 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(442, 167) = 73814

GCD(442, 167) = ( 442 x 167 ) / 73814

GCD(442, 167) = 73814 / 73814

GCD(442, 167) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 47

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

LCM(1, 47) = 47

GCD(1, 47) = ( 1 x 47 ) / 47

GCD(1, 47) = 47 / 47

GCD(1, 47) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 306

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

LCM(1, 306) = 306

GCD(1, 306) = ( 1 x 306 ) / 306

GCD(1, 306) = 306 / 306

GCD(1, 306) = 1

GCD of 442, 167, 47, 306 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 442, 167, 47, 306

1. What is the GCD of 442, 167, 47, 306?

GCD of 442, 167, 47, 306 is 1


2. Where do I get the detailed procedure to find GCD of 442, 167, 47, 306?

You can find a detailed procedure to find GCD of 442, 167, 47, 306 on our page.


3. How to find GCD of 442, 167, 47, 306 on a calculator?

You can find the GCD of 442, 167, 47, 306 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.