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 590, 482, 72, 396 i.e. 2 largest integer that divides all the numbers equally.
GCD of 590, 482, 72, 396 is 2
GCD(590, 482, 72, 396) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 590, 482, 72, 396 is 2
GCD(590, 482, 72, 396) = 2
Given Input numbers are 590, 482, 72, 396
To find the GCD of numbers using factoring list out all the divisors of each number
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 482
List of positive integer divisors of 482 that divides 482 without a remainder.
1, 2, 241, 482
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 396
List of positive integer divisors of 396 that divides 396 without a remainder.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Greatest Common Divisior
We found the divisors of 590, 482, 72, 396 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 590, 482, 72, 396 is 2.
Therefore, GCD of numbers 590, 482, 72, 396 is 2
Given Input Data is 590, 482, 72, 396
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 590 is 2 x 5 x 59
Prime Factorization of 482 is 2 x 241
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(590, 482) = 142190
GCD(590, 482) = ( 590 x 482 ) / 142190
GCD(590, 482) = 284380 / 142190
GCD(590, 482) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 72) = 72
GCD(2, 72) = ( 2 x 72 ) / 72
GCD(2, 72) = 144 / 72
GCD(2, 72) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 396
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 396) = 396
GCD(2, 396) = ( 2 x 396 ) / 396
GCD(2, 396) = 792 / 396
GCD(2, 396) = 2
GCD of 590, 482, 72, 396 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 590, 482, 72, 396?
GCD of 590, 482, 72, 396 is 2
2. Where do I get the detailed procedure to find GCD of 590, 482, 72, 396?
You can find a detailed procedure to find GCD of 590, 482, 72, 396 on our page.
3. How to find GCD of 590, 482, 72, 396 on a calculator?
You can find the GCD of 590, 482, 72, 396 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.