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 385, 396, 516, 556 i.e. 1 largest integer that divides all the numbers equally.
GCD of 385, 396, 516, 556 is 1
GCD(385, 396, 516, 556) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 385, 396, 516, 556 is 1
GCD(385, 396, 516, 556) = 1
Given Input numbers are 385, 396, 516, 556
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 385
List of positive integer divisors of 385 that divides 385 without a remainder.
1, 5, 7, 11, 35, 55, 77, 385
Divisors of 396
List of positive integer divisors of 396 that divides 396 without a remainder.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Divisors of 516
List of positive integer divisors of 516 that divides 516 without a remainder.
1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
Divisors of 556
List of positive integer divisors of 556 that divides 556 without a remainder.
1, 2, 4, 139, 278, 556
Greatest Common Divisior
We found the divisors of 385, 396, 516, 556 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 385, 396, 516, 556 is 1.
Therefore, GCD of numbers 385, 396, 516, 556 is 1
Given Input Data is 385, 396, 516, 556
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 385 is 5 x 7 x 11
Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11
Prime Factorization of 516 is 2 x 2 x 3 x 43
Prime Factorization of 556 is 2 x 2 x 139
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(385, 396) = 13860
GCD(385, 396) = ( 385 x 396 ) / 13860
GCD(385, 396) = 152460 / 13860
GCD(385, 396) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 516
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 516) = 5676
GCD(11, 516) = ( 11 x 516 ) / 5676
GCD(11, 516) = 5676 / 5676
GCD(11, 516) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 556
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 556) = 556
GCD(1, 556) = ( 1 x 556 ) / 556
GCD(1, 556) = 556 / 556
GCD(1, 556) = 1
GCD of 385, 396, 516, 556 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 385, 396, 516, 556?
GCD of 385, 396, 516, 556 is 1
2. Where do I get the detailed procedure to find GCD of 385, 396, 516, 556?
You can find a detailed procedure to find GCD of 385, 396, 516, 556 on our page.
3. How to find GCD of 385, 396, 516, 556 on a calculator?
You can find the GCD of 385, 396, 516, 556 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.