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, 504, 212, 255 i.e. 1 largest integer that divides all the numbers equally.
GCD of 366, 504, 212, 255 is 1
GCD(366, 504, 212, 255) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 366, 504, 212, 255 is 1
GCD(366, 504, 212, 255) = 1
Given Input numbers are 366, 504, 212, 255
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 504
List of positive integer divisors of 504 that divides 504 without a remainder.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
Divisors of 212
List of positive integer divisors of 212 that divides 212 without a remainder.
1, 2, 4, 53, 106, 212
Divisors of 255
List of positive integer divisors of 255 that divides 255 without a remainder.
1, 3, 5, 15, 17, 51, 85, 255
Greatest Common Divisior
We found the divisors of 366, 504, 212, 255 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 366, 504, 212, 255 is 1.
Therefore, GCD of numbers 366, 504, 212, 255 is 1
Given Input Data is 366, 504, 212, 255
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 504 is 2 x 2 x 2 x 3 x 3 x 7
Prime Factorization of 212 is 2 x 2 x 53
Prime Factorization of 255 is 3 x 5 x 17
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(366, 504) = 30744
GCD(366, 504) = ( 366 x 504 ) / 30744
GCD(366, 504) = 184464 / 30744
GCD(366, 504) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 212
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 212) = 636
GCD(6, 212) = ( 6 x 212 ) / 636
GCD(6, 212) = 1272 / 636
GCD(6, 212) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 255
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 255) = 510
GCD(2, 255) = ( 2 x 255 ) / 510
GCD(2, 255) = 510 / 510
GCD(2, 255) = 1
GCD of 366, 504, 212, 255 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 366, 504, 212, 255?
GCD of 366, 504, 212, 255 is 1
2. Where do I get the detailed procedure to find GCD of 366, 504, 212, 255?
You can find a detailed procedure to find GCD of 366, 504, 212, 255 on our page.
3. How to find GCD of 366, 504, 212, 255 on a calculator?
You can find the GCD of 366, 504, 212, 255 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.