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, 963, 59 i.e. 1 largest integer that divides all the numbers equally.
GCD of 537, 963, 59 is 1
GCD(537, 963, 59) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 537, 963, 59 is 1
GCD(537, 963, 59) = 1
Given Input numbers are 537, 963, 59
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 963
List of positive integer divisors of 963 that divides 963 without a remainder.
1, 3, 9, 107, 321, 963
Divisors of 59
List of positive integer divisors of 59 that divides 59 without a remainder.
1, 59
Greatest Common Divisior
We found the divisors of 537, 963, 59 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 537, 963, 59 is 1.
Therefore, GCD of numbers 537, 963, 59 is 1
Given Input Data is 537, 963, 59
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 537 is 3 x 179
Prime Factorization of 963 is 3 x 3 x 107
Prime Factorization of 59 is 59
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, 963) = 172377
GCD(537, 963) = ( 537 x 963 ) / 172377
GCD(537, 963) = 517131 / 172377
GCD(537, 963) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 59
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 59) = 177
GCD(3, 59) = ( 3 x 59 ) / 177
GCD(3, 59) = 177 / 177
GCD(3, 59) = 1
GCD of 537, 963, 59 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 537, 963, 59?
GCD of 537, 963, 59 is 1
2. Where do I get the detailed procedure to find GCD of 537, 963, 59?
You can find a detailed procedure to find GCD of 537, 963, 59 on our page.
3. How to find GCD of 537, 963, 59 on a calculator?
You can find the GCD of 537, 963, 59 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.