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, 578, 78, 327 i.e. 1 largest integer that divides all the numbers equally.
GCD of 366, 578, 78, 327 is 1
GCD(366, 578, 78, 327) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 366, 578, 78, 327 is 1
GCD(366, 578, 78, 327) = 1
Given Input numbers are 366, 578, 78, 327
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 578
List of positive integer divisors of 578 that divides 578 without a remainder.
1, 2, 17, 34, 289, 578
Divisors of 78
List of positive integer divisors of 78 that divides 78 without a remainder.
1, 2, 3, 6, 13, 26, 39, 78
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 366, 578, 78, 327 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 366, 578, 78, 327 is 1.
Therefore, GCD of numbers 366, 578, 78, 327 is 1
Given Input Data is 366, 578, 78, 327
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 578 is 2 x 17 x 17
Prime Factorization of 78 is 2 x 3 x 13
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(366, 578) = 105774
GCD(366, 578) = ( 366 x 578 ) / 105774
GCD(366, 578) = 211548 / 105774
GCD(366, 578) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 78
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 78) = 78
GCD(2, 78) = ( 2 x 78 ) / 78
GCD(2, 78) = 156 / 78
GCD(2, 78) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 327
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 327) = 654
GCD(2, 327) = ( 2 x 327 ) / 654
GCD(2, 327) = 654 / 654
GCD(2, 327) = 1
GCD of 366, 578, 78, 327 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 366, 578, 78, 327?
GCD of 366, 578, 78, 327 is 1
2. Where do I get the detailed procedure to find GCD of 366, 578, 78, 327?
You can find a detailed procedure to find GCD of 366, 578, 78, 327 on our page.
3. How to find GCD of 366, 578, 78, 327 on a calculator?
You can find the GCD of 366, 578, 78, 327 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.