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, 471 i.e. 1 largest integer that divides all the numbers equally.
GCD of 516, 830, 471 is 1
GCD(516, 830, 471) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 516, 830, 471 is 1
GCD(516, 830, 471) = 1
Given Input numbers are 516, 830, 471
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 471
List of positive integer divisors of 471 that divides 471 without a remainder.
1, 3, 157, 471
Greatest Common Divisior
We found the divisors of 516, 830, 471 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 516, 830, 471 is 1.
Therefore, GCD of numbers 516, 830, 471 is 1
Given Input Data is 516, 830, 471
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 471 is 3 x 157
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 471
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 471) = 942
GCD(2, 471) = ( 2 x 471 ) / 942
GCD(2, 471) = 942 / 942
GCD(2, 471) = 1
GCD of 516, 830, 471 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 516, 830, 471?
GCD of 516, 830, 471 is 1
2. Where do I get the detailed procedure to find GCD of 516, 830, 471?
You can find a detailed procedure to find GCD of 516, 830, 471 on our page.
3. How to find GCD of 516, 830, 471 on a calculator?
You can find the GCD of 516, 830, 471 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.