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 366, 600, 636 i.e. 6 largest integer that divides all the numbers equally.
GCD of 366, 600, 636 is 6
GCD(366, 600, 636) = 6
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 366, 600, 636 is 6
GCD(366, 600, 636) = 6
Given Input numbers are 366, 600, 636
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 366
List of positive integer divisors of 366 that divides 366 without a remainder.
1, 2, 3, 6, 61, 122, 183, 366
Divisors of 600
List of positive integer divisors of 600 that divides 600 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 636
List of positive integer divisors of 636 that divides 636 without a remainder.
1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
Greatest Common Divisior
We found the divisors of 366, 600, 636 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 366, 600, 636 is 6.
Therefore, GCD of numbers 366, 600, 636 is 6
Given Input Data is 366, 600, 636
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 366 is 2 x 3 x 61
Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5
Prime Factorization of 636 is 2 x 2 x 3 x 53
Highest common occurrences in the given inputs are 21 x 31
Multiplying them we get the GCD as 6
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(366, 600) = 36600
GCD(366, 600) = ( 366 x 600 ) / 36600
GCD(366, 600) = 219600 / 36600
GCD(366, 600) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 636
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 636) = 636
GCD(6, 636) = ( 6 x 636 ) / 636
GCD(6, 636) = 3816 / 636
GCD(6, 636) = 6
GCD of 366, 600, 636 is 6
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 366, 600, 636?
GCD of 366, 600, 636 is 6
2. Where do I get the detailed procedure to find GCD of 366, 600, 636?
You can find a detailed procedure to find GCD of 366, 600, 636 on our page.
3. How to find GCD of 366, 600, 636 on a calculator?
You can find the GCD of 366, 600, 636 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.