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 357, 228, 323, 516 i.e. 1 largest integer that divides all the numbers equally.
GCD of 357, 228, 323, 516 is 1
GCD(357, 228, 323, 516) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 357, 228, 323, 516 is 1
GCD(357, 228, 323, 516) = 1
Given Input numbers are 357, 228, 323, 516
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 357
List of positive integer divisors of 357 that divides 357 without a remainder.
1, 3, 7, 17, 21, 51, 119, 357
Divisors of 228
List of positive integer divisors of 228 that divides 228 without a remainder.
1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
Divisors of 323
List of positive integer divisors of 323 that divides 323 without a remainder.
1, 17, 19, 323
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
Greatest Common Divisior
We found the divisors of 357, 228, 323, 516 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 357, 228, 323, 516 is 1.
Therefore, GCD of numbers 357, 228, 323, 516 is 1
Given Input Data is 357, 228, 323, 516
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 357 is 3 x 7 x 17
Prime Factorization of 228 is 2 x 2 x 3 x 19
Prime Factorization of 323 is 17 x 19
Prime Factorization of 516 is 2 x 2 x 3 x 43
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(357, 228) = 27132
GCD(357, 228) = ( 357 x 228 ) / 27132
GCD(357, 228) = 81396 / 27132
GCD(357, 228) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 323
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 323) = 969
GCD(3, 323) = ( 3 x 323 ) / 969
GCD(3, 323) = 969 / 969
GCD(3, 323) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 516
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 516) = 516
GCD(1, 516) = ( 1 x 516 ) / 516
GCD(1, 516) = 516 / 516
GCD(1, 516) = 1
GCD of 357, 228, 323, 516 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 357, 228, 323, 516?
GCD of 357, 228, 323, 516 is 1
2. Where do I get the detailed procedure to find GCD of 357, 228, 323, 516?
You can find a detailed procedure to find GCD of 357, 228, 323, 516 on our page.
3. How to find GCD of 357, 228, 323, 516 on a calculator?
You can find the GCD of 357, 228, 323, 516 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.