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 numbers 624, 756, 713, 663 is 1
GCD(624, 756, 713, 663) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.