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 24, 117, 243, 835 i.e. 1 largest integer that divides all the numbers equally.
GCD of 24, 117, 243, 835 is 1
GCD(24, 117, 243, 835) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 24, 117, 243, 835 is 1
GCD(24, 117, 243, 835) = 1
Given Input numbers are 24, 117, 243, 835
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 24
List of positive integer divisors of 24 that divides 24 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24
Divisors of 117
List of positive integer divisors of 117 that divides 117 without a remainder.
1, 3, 9, 13, 39, 117
Divisors of 243
List of positive integer divisors of 243 that divides 243 without a remainder.
1, 3, 9, 27, 81, 243
Divisors of 835
List of positive integer divisors of 835 that divides 835 without a remainder.
1, 5, 167, 835
Greatest Common Divisior
We found the divisors of 24, 117, 243, 835 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 24, 117, 243, 835 is 1.
Therefore, GCD of numbers 24, 117, 243, 835 is 1
Given Input Data is 24, 117, 243, 835
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 24 is 2 x 2 x 2 x 3
Prime Factorization of 117 is 3 x 3 x 13
Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3
Prime Factorization of 835 is 5 x 167
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(24, 117) = 936
GCD(24, 117) = ( 24 x 117 ) / 936
GCD(24, 117) = 2808 / 936
GCD(24, 117) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 243
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 243) = 243
GCD(3, 243) = ( 3 x 243 ) / 243
GCD(3, 243) = 729 / 243
GCD(3, 243) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 835
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 835) = 2505
GCD(3, 835) = ( 3 x 835 ) / 2505
GCD(3, 835) = 2505 / 2505
GCD(3, 835) = 1
GCD of 24, 117, 243, 835 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 24, 117, 243, 835?
GCD of 24, 117, 243, 835 is 1
2. Where do I get the detailed procedure to find GCD of 24, 117, 243, 835?
You can find a detailed procedure to find GCD of 24, 117, 243, 835 on our page.
3. How to find GCD of 24, 117, 243, 835 on a calculator?
You can find the GCD of 24, 117, 243, 835 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.