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, 509, 768, 481 i.e. 1 largest integer that divides all the numbers equally.
GCD of 23, 509, 768, 481 is 1
GCD(23, 509, 768, 481) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 23, 509, 768, 481 is 1
GCD(23, 509, 768, 481) = 1
Given Input numbers are 23, 509, 768, 481
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 509
List of positive integer divisors of 509 that divides 509 without a remainder.
1, 509
Divisors of 768
List of positive integer divisors of 768 that divides 768 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
Divisors of 481
List of positive integer divisors of 481 that divides 481 without a remainder.
1, 13, 37, 481
Greatest Common Divisior
We found the divisors of 23, 509, 768, 481 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 23, 509, 768, 481 is 1.
Therefore, GCD of numbers 23, 509, 768, 481 is 1
Given Input Data is 23, 509, 768, 481
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 23 is 23
Prime Factorization of 509 is 509
Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 481 is 13 x 37
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, 509) = 11707
GCD(23, 509) = ( 23 x 509 ) / 11707
GCD(23, 509) = 11707 / 11707
GCD(23, 509) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 768
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 768) = 768
GCD(1, 768) = ( 1 x 768 ) / 768
GCD(1, 768) = 768 / 768
GCD(1, 768) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 481
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 481) = 481
GCD(1, 481) = ( 1 x 481 ) / 481
GCD(1, 481) = 481 / 481
GCD(1, 481) = 1
GCD of 23, 509, 768, 481 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 23, 509, 768, 481?
GCD of 23, 509, 768, 481 is 1
2. Where do I get the detailed procedure to find GCD of 23, 509, 768, 481?
You can find a detailed procedure to find GCD of 23, 509, 768, 481 on our page.
3. How to find GCD of 23, 509, 768, 481 on a calculator?
You can find the GCD of 23, 509, 768, 481 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.