GCD of 624, 756, 713, 663 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 624, 756, 713, 663 i.e. 1 largest integer that divides all the numbers equally.

GCD of 624, 756, 713, 663 is 1

GCD(624, 756, 713, 663) = 1

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

GCD of

GCD of numbers 624, 756, 713, 663 is 1

GCD(624, 756, 713, 663) = 1

GCD of 624,756,713,663 Calculator

GCDof 624,756,713,663 is 1

Given Input numbers are 624, 756, 713, 663

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

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Divisors of 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Greatest Common Divisior

We found the divisors of 624, 756, 713, 663 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 624, 756, 713, 663 is 1.

Therefore, GCD of numbers 624, 756, 713, 663 is 1

Finding GCD of 624, 756, 713, 663 using Prime Factorization

Given Input Data is 624, 756, 713, 663

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

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 713 is 23 x 31

Prime Factorization of 663 is 3 x 13 x 17

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

Finding GCD of 624, 756, 713, 663 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(624, 756) = 39312

GCD(624, 756) = ( 624 x 756 ) / 39312

GCD(624, 756) = 471744 / 39312

GCD(624, 756) = 12


Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 713

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

LCM(12, 713) = 8556

GCD(12, 713) = ( 12 x 713 ) / 8556

GCD(12, 713) = 8556 / 8556

GCD(12, 713) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 663

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

LCM(1, 663) = 663

GCD(1, 663) = ( 1 x 663 ) / 663

GCD(1, 663) = 663 / 663

GCD(1, 663) = 1

GCD of 624, 756, 713, 663 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 624, 756, 713, 663

1. What is the GCD of 624, 756, 713, 663?

GCD of 624, 756, 713, 663 is 1


2. Where do I get the detailed procedure to find GCD of 624, 756, 713, 663?

You can find a detailed procedure to find GCD of 624, 756, 713, 663 on our page.


3. How to find GCD of 624, 756, 713, 663 on a calculator?

You can find the GCD of 624, 756, 713, 663 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.