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 23, 713, 660, 832 i.e. 1 largest integer that divides all the numbers equally.
GCD of 23, 713, 660, 832 is 1
GCD(23, 713, 660, 832) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 23, 713, 660, 832 is 1
GCD(23, 713, 660, 832) = 1
Given Input numbers are 23, 713, 660, 832
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 23
List of positive integer divisors of 23 that divides 23 without a remainder.
1, 23
Divisors of 713
List of positive integer divisors of 713 that divides 713 without a remainder.
1, 23, 31, 713
Divisors of 660
List of positive integer divisors of 660 that divides 660 without a remainder.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 832
List of positive integer divisors of 832 that divides 832 without a remainder.
1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
Greatest Common Divisior
We found the divisors of 23, 713, 660, 832 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 23, 713, 660, 832 is 1.
Therefore, GCD of numbers 23, 713, 660, 832 is 1
Given Input Data is 23, 713, 660, 832
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 23 is 23
Prime Factorization of 713 is 23 x 31
Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11
Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13
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(23, 713) = 713
GCD(23, 713) = ( 23 x 713 ) / 713
GCD(23, 713) = 16399 / 713
GCD(23, 713) = 23
Step2:
Here we consider the GCD from the above i.e. 23 as first number and the next as 660
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(23, 660) = 15180
GCD(23, 660) = ( 23 x 660 ) / 15180
GCD(23, 660) = 15180 / 15180
GCD(23, 660) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 832
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 832) = 832
GCD(1, 832) = ( 1 x 832 ) / 832
GCD(1, 832) = 832 / 832
GCD(1, 832) = 1
GCD of 23, 713, 660, 832 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 23, 713, 660, 832?
GCD of 23, 713, 660, 832 is 1
2. Where do I get the detailed procedure to find GCD of 23, 713, 660, 832?
You can find a detailed procedure to find GCD of 23, 713, 660, 832 on our page.
3. How to find GCD of 23, 713, 660, 832 on a calculator?
You can find the GCD of 23, 713, 660, 832 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.