GCD of 312, 323, 73, 672 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 312, 323, 73, 672 i.e. 1 largest integer that divides all the numbers equally.

GCD of 312, 323, 73, 672 is 1

GCD(312, 323, 73, 672) = 1

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

GCD of

GCD of numbers 312, 323, 73, 672 is 1

GCD(312, 323, 73, 672) = 1

GCD of 312,323,73,672 Calculator

GCDof 312,323,73,672 is 1

Given Input numbers are 312, 323, 73, 672

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

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 323

List of positive integer divisors of 323 that divides 323 without a remainder.

1, 17, 19, 323

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Greatest Common Divisior

We found the divisors of 312, 323, 73, 672 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 323, 73, 672 is 1.

Therefore, GCD of numbers 312, 323, 73, 672 is 1

Finding GCD of 312, 323, 73, 672 using Prime Factorization

Given Input Data is 312, 323, 73, 672

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

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 323 is 17 x 19

Prime Factorization of 73 is 73

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

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

Finding GCD of 312, 323, 73, 672 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(312, 323) = 100776

GCD(312, 323) = ( 312 x 323 ) / 100776

GCD(312, 323) = 100776 / 100776

GCD(312, 323) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 73

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

LCM(1, 73) = 73

GCD(1, 73) = ( 1 x 73 ) / 73

GCD(1, 73) = 73 / 73

GCD(1, 73) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 672

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

LCM(1, 672) = 672

GCD(1, 672) = ( 1 x 672 ) / 672

GCD(1, 672) = 672 / 672

GCD(1, 672) = 1

GCD of 312, 323, 73, 672 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 312, 323, 73, 672

1. What is the GCD of 312, 323, 73, 672?

GCD of 312, 323, 73, 672 is 1


2. Where do I get the detailed procedure to find GCD of 312, 323, 73, 672?

You can find a detailed procedure to find GCD of 312, 323, 73, 672 on our page.


3. How to find GCD of 312, 323, 73, 672 on a calculator?

You can find the GCD of 312, 323, 73, 672 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.