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 516, 830, 542, 329 i.e. 1 largest integer that divides all the numbers equally.
GCD of 516, 830, 542, 329 is 1
GCD(516, 830, 542, 329) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 516, 830, 542, 329 is 1
GCD(516, 830, 542, 329) = 1
Given Input numbers are 516, 830, 542, 329
To find the GCD of numbers using factoring list out all the divisors of each number
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 830
List of positive integer divisors of 830 that divides 830 without a remainder.
1, 2, 5, 10, 83, 166, 415, 830
Divisors of 542
List of positive integer divisors of 542 that divides 542 without a remainder.
1, 2, 271, 542
Divisors of 329
List of positive integer divisors of 329 that divides 329 without a remainder.
1, 7, 47, 329
Greatest Common Divisior
We found the divisors of 516, 830, 542, 329 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 516, 830, 542, 329 is 1.
Therefore, GCD of numbers 516, 830, 542, 329 is 1
Given Input Data is 516, 830, 542, 329
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 516 is 2 x 2 x 3 x 43
Prime Factorization of 830 is 2 x 5 x 83
Prime Factorization of 542 is 2 x 271
Prime Factorization of 329 is 7 x 47
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(516, 830) = 214140
GCD(516, 830) = ( 516 x 830 ) / 214140
GCD(516, 830) = 428280 / 214140
GCD(516, 830) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 542
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 542) = 542
GCD(2, 542) = ( 2 x 542 ) / 542
GCD(2, 542) = 1084 / 542
GCD(2, 542) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 329
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 329) = 658
GCD(2, 329) = ( 2 x 329 ) / 658
GCD(2, 329) = 658 / 658
GCD(2, 329) = 1
GCD of 516, 830, 542, 329 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 516, 830, 542, 329?
GCD of 516, 830, 542, 329 is 1
2. Where do I get the detailed procedure to find GCD of 516, 830, 542, 329?
You can find a detailed procedure to find GCD of 516, 830, 542, 329 on our page.
3. How to find GCD of 516, 830, 542, 329 on a calculator?
You can find the GCD of 516, 830, 542, 329 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.