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, 828, 863, 947 i.e. 1 largest integer that divides all the numbers equally.
GCD of 24, 828, 863, 947 is 1
GCD(24, 828, 863, 947) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 24, 828, 863, 947 is 1
GCD(24, 828, 863, 947) = 1
Given Input numbers are 24, 828, 863, 947
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 828
List of positive integer divisors of 828 that divides 828 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
Divisors of 863
List of positive integer divisors of 863 that divides 863 without a remainder.
1, 863
Divisors of 947
List of positive integer divisors of 947 that divides 947 without a remainder.
1, 947
Greatest Common Divisior
We found the divisors of 24, 828, 863, 947 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 24, 828, 863, 947 is 1.
Therefore, GCD of numbers 24, 828, 863, 947 is 1
Given Input Data is 24, 828, 863, 947
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 828 is 2 x 2 x 3 x 3 x 23
Prime Factorization of 863 is 863
Prime Factorization of 947 is 947
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, 828) = 1656
GCD(24, 828) = ( 24 x 828 ) / 1656
GCD(24, 828) = 19872 / 1656
GCD(24, 828) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 863
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 863) = 10356
GCD(12, 863) = ( 12 x 863 ) / 10356
GCD(12, 863) = 10356 / 10356
GCD(12, 863) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 947
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 947) = 947
GCD(1, 947) = ( 1 x 947 ) / 947
GCD(1, 947) = 947 / 947
GCD(1, 947) = 1
GCD of 24, 828, 863, 947 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 24, 828, 863, 947?
GCD of 24, 828, 863, 947 is 1
2. Where do I get the detailed procedure to find GCD of 24, 828, 863, 947?
You can find a detailed procedure to find GCD of 24, 828, 863, 947 on our page.
3. How to find GCD of 24, 828, 863, 947 on a calculator?
You can find the GCD of 24, 828, 863, 947 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.