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 523, 787, 30, 721 i.e. 1 largest integer that divides all the numbers equally.
GCD of 523, 787, 30, 721 is 1
GCD(523, 787, 30, 721) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 523, 787, 30, 721 is 1
GCD(523, 787, 30, 721) = 1
Given Input numbers are 523, 787, 30, 721
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 523
List of positive integer divisors of 523 that divides 523 without a remainder.
1, 523
Divisors of 787
List of positive integer divisors of 787 that divides 787 without a remainder.
1, 787
Divisors of 30
List of positive integer divisors of 30 that divides 30 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30
Divisors of 721
List of positive integer divisors of 721 that divides 721 without a remainder.
1, 7, 103, 721
Greatest Common Divisior
We found the divisors of 523, 787, 30, 721 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 523, 787, 30, 721 is 1.
Therefore, GCD of numbers 523, 787, 30, 721 is 1
Given Input Data is 523, 787, 30, 721
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 523 is 523
Prime Factorization of 787 is 787
Prime Factorization of 30 is 2 x 3 x 5
Prime Factorization of 721 is 7 x 103
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(523, 787) = 411601
GCD(523, 787) = ( 523 x 787 ) / 411601
GCD(523, 787) = 411601 / 411601
GCD(523, 787) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 30
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 30) = 30
GCD(1, 30) = ( 1 x 30 ) / 30
GCD(1, 30) = 30 / 30
GCD(1, 30) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 721
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 721) = 721
GCD(1, 721) = ( 1 x 721 ) / 721
GCD(1, 721) = 721 / 721
GCD(1, 721) = 1
GCD of 523, 787, 30, 721 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 523, 787, 30, 721?
GCD of 523, 787, 30, 721 is 1
2. Where do I get the detailed procedure to find GCD of 523, 787, 30, 721?
You can find a detailed procedure to find GCD of 523, 787, 30, 721 on our page.
3. How to find GCD of 523, 787, 30, 721 on a calculator?
You can find the GCD of 523, 787, 30, 721 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.