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 858, 923, 900 i.e. 1 largest integer that divides all the numbers equally.
GCD of 858, 923, 900 is 1
GCD(858, 923, 900) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 858, 923, 900 is 1
GCD(858, 923, 900) = 1
Given Input numbers are 858, 923, 900
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 858
List of positive integer divisors of 858 that divides 858 without a remainder.
1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
Divisors of 923
List of positive integer divisors of 923 that divides 923 without a remainder.
1, 13, 71, 923
Divisors of 900
List of positive integer divisors of 900 that divides 900 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
Greatest Common Divisior
We found the divisors of 858, 923, 900 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 858, 923, 900 is 1.
Therefore, GCD of numbers 858, 923, 900 is 1
Given Input Data is 858, 923, 900
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 858 is 2 x 3 x 11 x 13
Prime Factorization of 923 is 13 x 71
Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5
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(858, 923) = 60918
GCD(858, 923) = ( 858 x 923 ) / 60918
GCD(858, 923) = 791934 / 60918
GCD(858, 923) = 13
Step2:
Here we consider the GCD from the above i.e. 13 as first number and the next as 900
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(13, 900) = 11700
GCD(13, 900) = ( 13 x 900 ) / 11700
GCD(13, 900) = 11700 / 11700
GCD(13, 900) = 1
GCD of 858, 923, 900 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 858, 923, 900?
GCD of 858, 923, 900 is 1
2. Where do I get the detailed procedure to find GCD of 858, 923, 900?
You can find a detailed procedure to find GCD of 858, 923, 900 on our page.
3. How to find GCD of 858, 923, 900 on a calculator?
You can find the GCD of 858, 923, 900 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.