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 812, 474, 27, 327 i.e. 1 largest integer that divides all the numbers equally.
GCD of 812, 474, 27, 327 is 1
GCD(812, 474, 27, 327) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 812, 474, 27, 327 is 1
GCD(812, 474, 27, 327) = 1
Given Input numbers are 812, 474, 27, 327
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 812
List of positive integer divisors of 812 that divides 812 without a remainder.
1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
Divisors of 474
List of positive integer divisors of 474 that divides 474 without a remainder.
1, 2, 3, 6, 79, 158, 237, 474
Divisors of 27
List of positive integer divisors of 27 that divides 27 without a remainder.
1, 3, 9, 27
Divisors of 327
List of positive integer divisors of 327 that divides 327 without a remainder.
1, 3, 109, 327
Greatest Common Divisior
We found the divisors of 812, 474, 27, 327 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 812, 474, 27, 327 is 1.
Therefore, GCD of numbers 812, 474, 27, 327 is 1
Given Input Data is 812, 474, 27, 327
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 812 is 2 x 2 x 7 x 29
Prime Factorization of 474 is 2 x 3 x 79
Prime Factorization of 27 is 3 x 3 x 3
Prime Factorization of 327 is 3 x 109
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(812, 474) = 192444
GCD(812, 474) = ( 812 x 474 ) / 192444
GCD(812, 474) = 384888 / 192444
GCD(812, 474) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 27
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 27) = 54
GCD(2, 27) = ( 2 x 27 ) / 54
GCD(2, 27) = 54 / 54
GCD(2, 27) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 327
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 327) = 327
GCD(1, 327) = ( 1 x 327 ) / 327
GCD(1, 327) = 327 / 327
GCD(1, 327) = 1
GCD of 812, 474, 27, 327 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 812, 474, 27, 327?
GCD of 812, 474, 27, 327 is 1
2. Where do I get the detailed procedure to find GCD of 812, 474, 27, 327?
You can find a detailed procedure to find GCD of 812, 474, 27, 327 on our page.
3. How to find GCD of 812, 474, 27, 327 on a calculator?
You can find the GCD of 812, 474, 27, 327 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.