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, 704, 204, 924 i.e. 1 largest integer that divides all the numbers equally.
GCD of 23, 704, 204, 924 is 1
GCD(23, 704, 204, 924) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 23, 704, 204, 924 is 1
GCD(23, 704, 204, 924) = 1
Given Input numbers are 23, 704, 204, 924
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 704
List of positive integer divisors of 704 that divides 704 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
Divisors of 204
List of positive integer divisors of 204 that divides 204 without a remainder.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
Divisors of 924
List of positive integer divisors of 924 that divides 924 without a remainder.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
Greatest Common Divisior
We found the divisors of 23, 704, 204, 924 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 23, 704, 204, 924 is 1.
Therefore, GCD of numbers 23, 704, 204, 924 is 1
Given Input Data is 23, 704, 204, 924
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 23 is 23
Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11
Prime Factorization of 204 is 2 x 2 x 3 x 17
Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11
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, 704) = 16192
GCD(23, 704) = ( 23 x 704 ) / 16192
GCD(23, 704) = 16192 / 16192
GCD(23, 704) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 204
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 204) = 204
GCD(1, 204) = ( 1 x 204 ) / 204
GCD(1, 204) = 204 / 204
GCD(1, 204) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 924
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 924) = 924
GCD(1, 924) = ( 1 x 924 ) / 924
GCD(1, 924) = 924 / 924
GCD(1, 924) = 1
GCD of 23, 704, 204, 924 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 23, 704, 204, 924?
GCD of 23, 704, 204, 924 is 1
2. Where do I get the detailed procedure to find GCD of 23, 704, 204, 924?
You can find a detailed procedure to find GCD of 23, 704, 204, 924 on our page.
3. How to find GCD of 23, 704, 204, 924 on a calculator?
You can find the GCD of 23, 704, 204, 924 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.