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 818, 300, 583, 427 i.e. 1 largest integer that divides all the numbers equally.
GCD of 818, 300, 583, 427 is 1
GCD(818, 300, 583, 427) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 818, 300, 583, 427 is 1
GCD(818, 300, 583, 427) = 1
Given Input numbers are 818, 300, 583, 427
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 818
List of positive integer divisors of 818 that divides 818 without a remainder.
1, 2, 409, 818
Divisors of 300
List of positive integer divisors of 300 that divides 300 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Divisors of 583
List of positive integer divisors of 583 that divides 583 without a remainder.
1, 11, 53, 583
Divisors of 427
List of positive integer divisors of 427 that divides 427 without a remainder.
1, 7, 61, 427
Greatest Common Divisior
We found the divisors of 818, 300, 583, 427 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 818, 300, 583, 427 is 1.
Therefore, GCD of numbers 818, 300, 583, 427 is 1
Given Input Data is 818, 300, 583, 427
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 818 is 2 x 409
Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5
Prime Factorization of 583 is 11 x 53
Prime Factorization of 427 is 7 x 61
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(818, 300) = 122700
GCD(818, 300) = ( 818 x 300 ) / 122700
GCD(818, 300) = 245400 / 122700
GCD(818, 300) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 583
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 583) = 1166
GCD(2, 583) = ( 2 x 583 ) / 1166
GCD(2, 583) = 1166 / 1166
GCD(2, 583) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 427
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 427) = 427
GCD(1, 427) = ( 1 x 427 ) / 427
GCD(1, 427) = 427 / 427
GCD(1, 427) = 1
GCD of 818, 300, 583, 427 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 818, 300, 583, 427?
GCD of 818, 300, 583, 427 is 1
2. Where do I get the detailed procedure to find GCD of 818, 300, 583, 427?
You can find a detailed procedure to find GCD of 818, 300, 583, 427 on our page.
3. How to find GCD of 818, 300, 583, 427 on a calculator?
You can find the GCD of 818, 300, 583, 427 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.