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, 326, 47, 722 i.e. 1 largest integer that divides all the numbers equally.
GCD of 523, 326, 47, 722 is 1
GCD(523, 326, 47, 722) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 523, 326, 47, 722 is 1
GCD(523, 326, 47, 722) = 1
Given Input numbers are 523, 326, 47, 722
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 326
List of positive integer divisors of 326 that divides 326 without a remainder.
1, 2, 163, 326
Divisors of 47
List of positive integer divisors of 47 that divides 47 without a remainder.
1, 47
Divisors of 722
List of positive integer divisors of 722 that divides 722 without a remainder.
1, 2, 19, 38, 361, 722
Greatest Common Divisior
We found the divisors of 523, 326, 47, 722 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 523, 326, 47, 722 is 1.
Therefore, GCD of numbers 523, 326, 47, 722 is 1
Given Input Data is 523, 326, 47, 722
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 523 is 523
Prime Factorization of 326 is 2 x 163
Prime Factorization of 47 is 47
Prime Factorization of 722 is 2 x 19 x 19
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, 326) = 170498
GCD(523, 326) = ( 523 x 326 ) / 170498
GCD(523, 326) = 170498 / 170498
GCD(523, 326) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 47
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 47) = 47
GCD(1, 47) = ( 1 x 47 ) / 47
GCD(1, 47) = 47 / 47
GCD(1, 47) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 722
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 722) = 722
GCD(1, 722) = ( 1 x 722 ) / 722
GCD(1, 722) = 722 / 722
GCD(1, 722) = 1
GCD of 523, 326, 47, 722 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 523, 326, 47, 722?
GCD of 523, 326, 47, 722 is 1
2. Where do I get the detailed procedure to find GCD of 523, 326, 47, 722?
You can find a detailed procedure to find GCD of 523, 326, 47, 722 on our page.
3. How to find GCD of 523, 326, 47, 722 on a calculator?
You can find the GCD of 523, 326, 47, 722 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.