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, 427, 900, 774 i.e. 1 largest integer that divides all the numbers equally.
GCD of 858, 427, 900, 774 is 1
GCD(858, 427, 900, 774) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 858, 427, 900, 774 is 1
GCD(858, 427, 900, 774) = 1
Given Input numbers are 858, 427, 900, 774
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 427
List of positive integer divisors of 427 that divides 427 without a remainder.
1, 7, 61, 427
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
Divisors of 774
List of positive integer divisors of 774 that divides 774 without a remainder.
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
Greatest Common Divisior
We found the divisors of 858, 427, 900, 774 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 858, 427, 900, 774 is 1.
Therefore, GCD of numbers 858, 427, 900, 774 is 1
Given Input Data is 858, 427, 900, 774
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 427 is 7 x 61
Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5
Prime Factorization of 774 is 2 x 3 x 3 x 43
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, 427) = 366366
GCD(858, 427) = ( 858 x 427 ) / 366366
GCD(858, 427) = 366366 / 366366
GCD(858, 427) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 900
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 900) = 900
GCD(1, 900) = ( 1 x 900 ) / 900
GCD(1, 900) = 900 / 900
GCD(1, 900) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 774
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 774) = 774
GCD(1, 774) = ( 1 x 774 ) / 774
GCD(1, 774) = 774 / 774
GCD(1, 774) = 1
GCD of 858, 427, 900, 774 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 858, 427, 900, 774?
GCD of 858, 427, 900, 774 is 1
2. Where do I get the detailed procedure to find GCD of 858, 427, 900, 774?
You can find a detailed procedure to find GCD of 858, 427, 900, 774 on our page.
3. How to find GCD of 858, 427, 900, 774 on a calculator?
You can find the GCD of 858, 427, 900, 774 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.