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 537, 516, 19, 959 i.e. 1 largest integer that divides all the numbers equally.
GCD of 537, 516, 19, 959 is 1
GCD(537, 516, 19, 959) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 537, 516, 19, 959 is 1
GCD(537, 516, 19, 959) = 1
Given Input numbers are 537, 516, 19, 959
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 537
List of positive integer divisors of 537 that divides 537 without a remainder.
1, 3, 179, 537
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 19
List of positive integer divisors of 19 that divides 19 without a remainder.
1, 19
Divisors of 959
List of positive integer divisors of 959 that divides 959 without a remainder.
1, 7, 137, 959
Greatest Common Divisior
We found the divisors of 537, 516, 19, 959 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 537, 516, 19, 959 is 1.
Therefore, GCD of numbers 537, 516, 19, 959 is 1
Given Input Data is 537, 516, 19, 959
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 537 is 3 x 179
Prime Factorization of 516 is 2 x 2 x 3 x 43
Prime Factorization of 19 is 19
Prime Factorization of 959 is 7 x 137
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(537, 516) = 92364
GCD(537, 516) = ( 537 x 516 ) / 92364
GCD(537, 516) = 277092 / 92364
GCD(537, 516) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 19
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 19) = 57
GCD(3, 19) = ( 3 x 19 ) / 57
GCD(3, 19) = 57 / 57
GCD(3, 19) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 959
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 959) = 959
GCD(1, 959) = ( 1 x 959 ) / 959
GCD(1, 959) = 959 / 959
GCD(1, 959) = 1
GCD of 537, 516, 19, 959 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 537, 516, 19, 959?
GCD of 537, 516, 19, 959 is 1
2. Where do I get the detailed procedure to find GCD of 537, 516, 19, 959?
You can find a detailed procedure to find GCD of 537, 516, 19, 959 on our page.
3. How to find GCD of 537, 516, 19, 959 on a calculator?
You can find the GCD of 537, 516, 19, 959 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.