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, 533, 10, 304 i.e. 1 largest integer that divides all the numbers equally.
GCD of 590, 533, 10, 304 is 1
GCD(590, 533, 10, 304) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 590, 533, 10, 304 is 1
GCD(590, 533, 10, 304) = 1
Given Input numbers are 590, 533, 10, 304
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 533
List of positive integer divisors of 533 that divides 533 without a remainder.
1, 13, 41, 533
Divisors of 10
List of positive integer divisors of 10 that divides 10 without a remainder.
1, 2, 5, 10
Divisors of 304
List of positive integer divisors of 304 that divides 304 without a remainder.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
Greatest Common Divisior
We found the divisors of 590, 533, 10, 304 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 590, 533, 10, 304 is 1.
Therefore, GCD of numbers 590, 533, 10, 304 is 1
Given Input Data is 590, 533, 10, 304
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 533 is 13 x 41
Prime Factorization of 10 is 2 x 5
Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19
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, 533) = 314470
GCD(590, 533) = ( 590 x 533 ) / 314470
GCD(590, 533) = 314470 / 314470
GCD(590, 533) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 10
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 10) = 10
GCD(1, 10) = ( 1 x 10 ) / 10
GCD(1, 10) = 10 / 10
GCD(1, 10) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 304
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 304) = 304
GCD(1, 304) = ( 1 x 304 ) / 304
GCD(1, 304) = 304 / 304
GCD(1, 304) = 1
GCD of 590, 533, 10, 304 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 590, 533, 10, 304?
GCD of 590, 533, 10, 304 is 1
2. Where do I get the detailed procedure to find GCD of 590, 533, 10, 304?
You can find a detailed procedure to find GCD of 590, 533, 10, 304 on our page.
3. How to find GCD of 590, 533, 10, 304 on a calculator?
You can find the GCD of 590, 533, 10, 304 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.