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, 197, 175, 684 i.e. 1 largest integer that divides all the numbers equally.
GCD of 516, 197, 175, 684 is 1
GCD(516, 197, 175, 684) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 516, 197, 175, 684 is 1
GCD(516, 197, 175, 684) = 1
Given Input numbers are 516, 197, 175, 684
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 197
List of positive integer divisors of 197 that divides 197 without a remainder.
1, 197
Divisors of 175
List of positive integer divisors of 175 that divides 175 without a remainder.
1, 5, 7, 25, 35, 175
Divisors of 684
List of positive integer divisors of 684 that divides 684 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Greatest Common Divisior
We found the divisors of 516, 197, 175, 684 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 516, 197, 175, 684 is 1.
Therefore, GCD of numbers 516, 197, 175, 684 is 1
Given Input Data is 516, 197, 175, 684
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 197 is 197
Prime Factorization of 175 is 5 x 5 x 7
Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19
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, 197) = 101652
GCD(516, 197) = ( 516 x 197 ) / 101652
GCD(516, 197) = 101652 / 101652
GCD(516, 197) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 175
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 175) = 175
GCD(1, 175) = ( 1 x 175 ) / 175
GCD(1, 175) = 175 / 175
GCD(1, 175) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 684
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 684) = 684
GCD(1, 684) = ( 1 x 684 ) / 684
GCD(1, 684) = 684 / 684
GCD(1, 684) = 1
GCD of 516, 197, 175, 684 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 516, 197, 175, 684?
GCD of 516, 197, 175, 684 is 1
2. Where do I get the detailed procedure to find GCD of 516, 197, 175, 684?
You can find a detailed procedure to find GCD of 516, 197, 175, 684 on our page.
3. How to find GCD of 516, 197, 175, 684 on a calculator?
You can find the GCD of 516, 197, 175, 684 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.