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 824, 486, 47, 823 i.e. 1 largest integer that divides all the numbers equally.
GCD of 824, 486, 47, 823 is 1
GCD(824, 486, 47, 823) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 824, 486, 47, 823 is 1
GCD(824, 486, 47, 823) = 1
Given Input numbers are 824, 486, 47, 823
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 824
List of positive integer divisors of 824 that divides 824 without a remainder.
1, 2, 4, 8, 103, 206, 412, 824
Divisors of 486
List of positive integer divisors of 486 that divides 486 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
Divisors of 47
List of positive integer divisors of 47 that divides 47 without a remainder.
1, 47
Divisors of 823
List of positive integer divisors of 823 that divides 823 without a remainder.
1, 823
Greatest Common Divisior
We found the divisors of 824, 486, 47, 823 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 824, 486, 47, 823 is 1.
Therefore, GCD of numbers 824, 486, 47, 823 is 1
Given Input Data is 824, 486, 47, 823
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 824 is 2 x 2 x 2 x 103
Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 47 is 47
Prime Factorization of 823 is 823
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(824, 486) = 200232
GCD(824, 486) = ( 824 x 486 ) / 200232
GCD(824, 486) = 400464 / 200232
GCD(824, 486) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 47
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 47) = 94
GCD(2, 47) = ( 2 x 47 ) / 94
GCD(2, 47) = 94 / 94
GCD(2, 47) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 823
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 823) = 823
GCD(1, 823) = ( 1 x 823 ) / 823
GCD(1, 823) = 823 / 823
GCD(1, 823) = 1
GCD of 824, 486, 47, 823 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 824, 486, 47, 823?
GCD of 824, 486, 47, 823 is 1
2. Where do I get the detailed procedure to find GCD of 824, 486, 47, 823?
You can find a detailed procedure to find GCD of 824, 486, 47, 823 on our page.
3. How to find GCD of 824, 486, 47, 823 on a calculator?
You can find the GCD of 824, 486, 47, 823 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.