GCD of 27, 784, 612, 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 27, 784, 612, 672 i.e. 1 largest integer that divides all the numbers equally.

GCD of 27, 784, 612, 672 is 1

GCD(27, 784, 612, 672) = 1

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

GCD of

GCD of numbers 27, 784, 612, 672 is 1

GCD(27, 784, 612, 672) = 1

GCD of 27,784,612,672 Calculator

GCDof 27,784,612,672 is 1

Given Input numbers are 27, 784, 612, 672

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

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

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 27, 784, 612, 672 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 27, 784, 612, 672 is 1.

Therefore, GCD of numbers 27, 784, 612, 672 is 1

Finding GCD of 27, 784, 612, 672 using Prime Factorization

Given Input Data is 27, 784, 612, 672

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

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

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 27, 784, 612, 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(27, 784) = 21168

GCD(27, 784) = ( 27 x 784 ) / 21168

GCD(27, 784) = 21168 / 21168

GCD(27, 784) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 612

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

LCM(1, 612) = 612

GCD(1, 612) = ( 1 x 612 ) / 612

GCD(1, 612) = 612 / 612

GCD(1, 612) = 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 27, 784, 612, 672 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 27, 784, 612, 672

1. What is the GCD of 27, 784, 612, 672?

GCD of 27, 784, 612, 672 is 1


2. Where do I get the detailed procedure to find GCD of 27, 784, 612, 672?

You can find a detailed procedure to find GCD of 27, 784, 612, 672 on our page.


3. How to find GCD of 27, 784, 612, 672 on a calculator?

You can find the GCD of 27, 784, 612, 672 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.