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 596, 770, 23 i.e. 1 largest integer that divides all the numbers equally.
GCD of 596, 770, 23 is 1
GCD(596, 770, 23) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 596, 770, 23 is 1
GCD(596, 770, 23) = 1
Given Input numbers are 596, 770, 23
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 596
List of positive integer divisors of 596 that divides 596 without a remainder.
1, 2, 4, 149, 298, 596
Divisors of 770
List of positive integer divisors of 770 that divides 770 without a remainder.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
Divisors of 23
List of positive integer divisors of 23 that divides 23 without a remainder.
1, 23
Greatest Common Divisior
We found the divisors of 596, 770, 23 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 596, 770, 23 is 1.
Therefore, GCD of numbers 596, 770, 23 is 1
Given Input Data is 596, 770, 23
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 596 is 2 x 2 x 149
Prime Factorization of 770 is 2 x 5 x 7 x 11
Prime Factorization of 23 is 23
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(596, 770) = 229460
GCD(596, 770) = ( 596 x 770 ) / 229460
GCD(596, 770) = 458920 / 229460
GCD(596, 770) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 23
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 23) = 46
GCD(2, 23) = ( 2 x 23 ) / 46
GCD(2, 23) = 46 / 46
GCD(2, 23) = 1
GCD of 596, 770, 23 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 596, 770, 23?
GCD of 596, 770, 23 is 1
2. Where do I get the detailed procedure to find GCD of 596, 770, 23?
You can find a detailed procedure to find GCD of 596, 770, 23 on our page.
3. How to find GCD of 596, 770, 23 on a calculator?
You can find the GCD of 596, 770, 23 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.