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, 537, 40 i.e. 1 largest integer that divides all the numbers equally.
GCD of 516, 537, 40 is 1
GCD(516, 537, 40) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 516, 537, 40 is 1
GCD(516, 537, 40) = 1
Given Input numbers are 516, 537, 40
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 537
List of positive integer divisors of 537 that divides 537 without a remainder.
1, 3, 179, 537
Divisors of 40
List of positive integer divisors of 40 that divides 40 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40
Greatest Common Divisior
We found the divisors of 516, 537, 40 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 516, 537, 40 is 1.
Therefore, GCD of numbers 516, 537, 40 is 1
Given Input Data is 516, 537, 40
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 537 is 3 x 179
Prime Factorization of 40 is 2 x 2 x 2 x 5
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, 537) = 92364
GCD(516, 537) = ( 516 x 537 ) / 92364
GCD(516, 537) = 277092 / 92364
GCD(516, 537) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 40
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 40) = 120
GCD(3, 40) = ( 3 x 40 ) / 120
GCD(3, 40) = 120 / 120
GCD(3, 40) = 1
GCD of 516, 537, 40 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 516, 537, 40?
GCD of 516, 537, 40 is 1
2. Where do I get the detailed procedure to find GCD of 516, 537, 40?
You can find a detailed procedure to find GCD of 516, 537, 40 on our page.
3. How to find GCD of 516, 537, 40 on a calculator?
You can find the GCD of 516, 537, 40 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.