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 459, 590, 52, 612 i.e. 1 largest integer that divides all the numbers equally.
GCD of 459, 590, 52, 612 is 1
GCD(459, 590, 52, 612) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 459, 590, 52, 612 is 1
GCD(459, 590, 52, 612) = 1
Given Input numbers are 459, 590, 52, 612
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 459
List of positive integer divisors of 459 that divides 459 without a remainder.
1, 3, 9, 17, 27, 51, 153, 459
Divisors of 590
List of positive integer divisors of 590 that divides 590 without a remainder.
1, 2, 5, 10, 59, 118, 295, 590
Divisors of 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
Divisors of 612
List of positive integer divisors of 612 that divides 612 without a remainder.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
Greatest Common Divisior
We found the divisors of 459, 590, 52, 612 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 459, 590, 52, 612 is 1.
Therefore, GCD of numbers 459, 590, 52, 612 is 1
Given Input Data is 459, 590, 52, 612
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 459 is 3 x 3 x 3 x 17
Prime Factorization of 590 is 2 x 5 x 59
Prime Factorization of 52 is 2 x 2 x 13
Prime Factorization of 612 is 2 x 2 x 3 x 3 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(459, 590) = 270810
GCD(459, 590) = ( 459 x 590 ) / 270810
GCD(459, 590) = 270810 / 270810
GCD(459, 590) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 52
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 52) = 52
GCD(1, 52) = ( 1 x 52 ) / 52
GCD(1, 52) = 52 / 52
GCD(1, 52) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 612
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 612) = 612
GCD(1, 612) = ( 1 x 612 ) / 612
GCD(1, 612) = 612 / 612
GCD(1, 612) = 1
GCD of 459, 590, 52, 612 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 459, 590, 52, 612?
GCD of 459, 590, 52, 612 is 1
2. Where do I get the detailed procedure to find GCD of 459, 590, 52, 612?
You can find a detailed procedure to find GCD of 459, 590, 52, 612 on our page.
3. How to find GCD of 459, 590, 52, 612 on a calculator?
You can find the GCD of 459, 590, 52, 612 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.