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, 984, 969, 234 i.e. 1 largest integer that divides all the numbers equally.
GCD of 23, 984, 969, 234 is 1
GCD(23, 984, 969, 234) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 23, 984, 969, 234 is 1
GCD(23, 984, 969, 234) = 1
Given Input numbers are 23, 984, 969, 234
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 984
List of positive integer divisors of 984 that divides 984 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
Divisors of 969
List of positive integer divisors of 969 that divides 969 without a remainder.
1, 3, 17, 19, 51, 57, 323, 969
Divisors of 234
List of positive integer divisors of 234 that divides 234 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
Greatest Common Divisior
We found the divisors of 23, 984, 969, 234 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 23, 984, 969, 234 is 1.
Therefore, GCD of numbers 23, 984, 969, 234 is 1
Given Input Data is 23, 984, 969, 234
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 23 is 23
Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41
Prime Factorization of 969 is 3 x 17 x 19
Prime Factorization of 234 is 2 x 3 x 3 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, 984) = 22632
GCD(23, 984) = ( 23 x 984 ) / 22632
GCD(23, 984) = 22632 / 22632
GCD(23, 984) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 969
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 969) = 969
GCD(1, 969) = ( 1 x 969 ) / 969
GCD(1, 969) = 969 / 969
GCD(1, 969) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 234
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 234) = 234
GCD(1, 234) = ( 1 x 234 ) / 234
GCD(1, 234) = 234 / 234
GCD(1, 234) = 1
GCD of 23, 984, 969, 234 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 23, 984, 969, 234?
GCD of 23, 984, 969, 234 is 1
2. Where do I get the detailed procedure to find GCD of 23, 984, 969, 234?
You can find a detailed procedure to find GCD of 23, 984, 969, 234 on our page.
3. How to find GCD of 23, 984, 969, 234 on a calculator?
You can find the GCD of 23, 984, 969, 234 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.