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 997, 710, 23 i.e. 1 largest integer that divides all the numbers equally.
GCD of 997, 710, 23 is 1
GCD(997, 710, 23) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 997, 710, 23 is 1
GCD(997, 710, 23) = 1
Given Input numbers are 997, 710, 23
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 997
List of positive integer divisors of 997 that divides 997 without a remainder.
1, 997
Divisors of 710
List of positive integer divisors of 710 that divides 710 without a remainder.
1, 2, 5, 10, 71, 142, 355, 710
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 997, 710, 23 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 997, 710, 23 is 1.
Therefore, GCD of numbers 997, 710, 23 is 1
Given Input Data is 997, 710, 23
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 997 is 997
Prime Factorization of 710 is 2 x 5 x 71
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(997, 710) = 707870
GCD(997, 710) = ( 997 x 710 ) / 707870
GCD(997, 710) = 707870 / 707870
GCD(997, 710) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 23
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 23) = 23
GCD(1, 23) = ( 1 x 23 ) / 23
GCD(1, 23) = 23 / 23
GCD(1, 23) = 1
GCD of 997, 710, 23 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 997, 710, 23?
GCD of 997, 710, 23 is 1
2. Where do I get the detailed procedure to find GCD of 997, 710, 23?
You can find a detailed procedure to find GCD of 997, 710, 23 on our page.
3. How to find GCD of 997, 710, 23 on a calculator?
You can find the GCD of 997, 710, 23 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.