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, 347, 18, 714 i.e. 1 largest integer that divides all the numbers equally.
GCD of 516, 347, 18, 714 is 1
GCD(516, 347, 18, 714) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 516, 347, 18, 714 is 1
GCD(516, 347, 18, 714) = 1
Given Input numbers are 516, 347, 18, 714
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 347
List of positive integer divisors of 347 that divides 347 without a remainder.
1, 347
Divisors of 18
List of positive integer divisors of 18 that divides 18 without a remainder.
1, 2, 3, 6, 9, 18
Divisors of 714
List of positive integer divisors of 714 that divides 714 without a remainder.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
Greatest Common Divisior
We found the divisors of 516, 347, 18, 714 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 516, 347, 18, 714 is 1.
Therefore, GCD of numbers 516, 347, 18, 714 is 1
Given Input Data is 516, 347, 18, 714
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 347 is 347
Prime Factorization of 18 is 2 x 3 x 3
Prime Factorization of 714 is 2 x 3 x 7 x 17
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, 347) = 179052
GCD(516, 347) = ( 516 x 347 ) / 179052
GCD(516, 347) = 179052 / 179052
GCD(516, 347) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 18
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 18) = 18
GCD(1, 18) = ( 1 x 18 ) / 18
GCD(1, 18) = 18 / 18
GCD(1, 18) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 714
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 714) = 714
GCD(1, 714) = ( 1 x 714 ) / 714
GCD(1, 714) = 714 / 714
GCD(1, 714) = 1
GCD of 516, 347, 18, 714 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 516, 347, 18, 714?
GCD of 516, 347, 18, 714 is 1
2. Where do I get the detailed procedure to find GCD of 516, 347, 18, 714?
You can find a detailed procedure to find GCD of 516, 347, 18, 714 on our page.
3. How to find GCD of 516, 347, 18, 714 on a calculator?
You can find the GCD of 516, 347, 18, 714 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.