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, 21, 58 i.e. 1 largest integer that divides all the numbers equally.
GCD of 23, 21, 58 is 1
GCD(23, 21, 58) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 23, 21, 58 is 1
GCD(23, 21, 58) = 1
Given Input numbers are 23, 21, 58
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 21
List of positive integer divisors of 21 that divides 21 without a remainder.
1, 3, 7, 21
Divisors of 58
List of positive integer divisors of 58 that divides 58 without a remainder.
1, 2, 29, 58
Greatest Common Divisior
We found the divisors of 23, 21, 58 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 23, 21, 58 is 1.
Therefore, GCD of numbers 23, 21, 58 is 1
Given Input Data is 23, 21, 58
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 23 is 23
Prime Factorization of 21 is 3 x 7
Prime Factorization of 58 is 2 x 29
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, 21) = 483
GCD(23, 21) = ( 23 x 21 ) / 483
GCD(23, 21) = 483 / 483
GCD(23, 21) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 58
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 58) = 58
GCD(1, 58) = ( 1 x 58 ) / 58
GCD(1, 58) = 58 / 58
GCD(1, 58) = 1
GCD of 23, 21, 58 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 23, 21, 58?
GCD of 23, 21, 58 is 1
2. Where do I get the detailed procedure to find GCD of 23, 21, 58?
You can find a detailed procedure to find GCD of 23, 21, 58 on our page.
3. How to find GCD of 23, 21, 58 on a calculator?
You can find the GCD of 23, 21, 58 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.