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 823, 372, 18, 892 i.e. 1 largest integer that divides all the numbers equally.
GCD of 823, 372, 18, 892 is 1
GCD(823, 372, 18, 892) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 823, 372, 18, 892 is 1
GCD(823, 372, 18, 892) = 1
Given Input numbers are 823, 372, 18, 892
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 823
List of positive integer divisors of 823 that divides 823 without a remainder.
1, 823
Divisors of 372
List of positive integer divisors of 372 that divides 372 without a remainder.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
Divisors of 18
List of positive integer divisors of 18 that divides 18 without a remainder.
1, 2, 3, 6, 9, 18
Divisors of 892
List of positive integer divisors of 892 that divides 892 without a remainder.
1, 2, 4, 223, 446, 892
Greatest Common Divisior
We found the divisors of 823, 372, 18, 892 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 823, 372, 18, 892 is 1.
Therefore, GCD of numbers 823, 372, 18, 892 is 1
Given Input Data is 823, 372, 18, 892
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 823 is 823
Prime Factorization of 372 is 2 x 2 x 3 x 31
Prime Factorization of 18 is 2 x 3 x 3
Prime Factorization of 892 is 2 x 2 x 223
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(823, 372) = 306156
GCD(823, 372) = ( 823 x 372 ) / 306156
GCD(823, 372) = 306156 / 306156
GCD(823, 372) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 18
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 18) = 18
GCD(1, 18) = ( 1 x 18 ) / 18
GCD(1, 18) = 18 / 18
GCD(1, 18) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 892
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 892) = 892
GCD(1, 892) = ( 1 x 892 ) / 892
GCD(1, 892) = 892 / 892
GCD(1, 892) = 1
GCD of 823, 372, 18, 892 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 823, 372, 18, 892?
GCD of 823, 372, 18, 892 is 1
2. Where do I get the detailed procedure to find GCD of 823, 372, 18, 892?
You can find a detailed procedure to find GCD of 823, 372, 18, 892 on our page.
3. How to find GCD of 823, 372, 18, 892 on a calculator?
You can find the GCD of 823, 372, 18, 892 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.