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, 396, 90, 731 i.e. 1 largest integer that divides all the numbers equally.
GCD of 590, 396, 90, 731 is 1
GCD(590, 396, 90, 731) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 590, 396, 90, 731 is 1
GCD(590, 396, 90, 731) = 1
Given Input numbers are 590, 396, 90, 731
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 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
Divisors of 90
List of positive integer divisors of 90 that divides 90 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Divisors of 731
List of positive integer divisors of 731 that divides 731 without a remainder.
1, 17, 43, 731
Greatest Common Divisior
We found the divisors of 590, 396, 90, 731 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 590, 396, 90, 731 is 1.
Therefore, GCD of numbers 590, 396, 90, 731 is 1
Given Input Data is 590, 396, 90, 731
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 396 is 2 x 2 x 3 x 3 x 11
Prime Factorization of 90 is 2 x 3 x 3 x 5
Prime Factorization of 731 is 17 x 43
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(590, 396) = 116820
GCD(590, 396) = ( 590 x 396 ) / 116820
GCD(590, 396) = 233640 / 116820
GCD(590, 396) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 90
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 90) = 90
GCD(2, 90) = ( 2 x 90 ) / 90
GCD(2, 90) = 180 / 90
GCD(2, 90) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 731
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 731) = 1462
GCD(2, 731) = ( 2 x 731 ) / 1462
GCD(2, 731) = 1462 / 1462
GCD(2, 731) = 1
GCD of 590, 396, 90, 731 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 590, 396, 90, 731?
GCD of 590, 396, 90, 731 is 1
2. Where do I get the detailed procedure to find GCD of 590, 396, 90, 731?
You can find a detailed procedure to find GCD of 590, 396, 90, 731 on our page.
3. How to find GCD of 590, 396, 90, 731 on a calculator?
You can find the GCD of 590, 396, 90, 731 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.