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, 855, 374, 500 i.e. 1 largest integer that divides all the numbers equally.
GCD of 590, 855, 374, 500 is 1
GCD(590, 855, 374, 500) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 590, 855, 374, 500 is 1
GCD(590, 855, 374, 500) = 1
Given Input numbers are 590, 855, 374, 500
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 855
List of positive integer divisors of 855 that divides 855 without a remainder.
1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
Divisors of 374
List of positive integer divisors of 374 that divides 374 without a remainder.
1, 2, 11, 17, 22, 34, 187, 374
Divisors of 500
List of positive integer divisors of 500 that divides 500 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Greatest Common Divisior
We found the divisors of 590, 855, 374, 500 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 590, 855, 374, 500 is 1.
Therefore, GCD of numbers 590, 855, 374, 500 is 1
Given Input Data is 590, 855, 374, 500
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 855 is 3 x 3 x 5 x 19
Prime Factorization of 374 is 2 x 11 x 17
Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5
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, 855) = 100890
GCD(590, 855) = ( 590 x 855 ) / 100890
GCD(590, 855) = 504450 / 100890
GCD(590, 855) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 374
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 374) = 1870
GCD(5, 374) = ( 5 x 374 ) / 1870
GCD(5, 374) = 1870 / 1870
GCD(5, 374) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 500
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 500) = 500
GCD(1, 500) = ( 1 x 500 ) / 500
GCD(1, 500) = 500 / 500
GCD(1, 500) = 1
GCD of 590, 855, 374, 500 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 590, 855, 374, 500?
GCD of 590, 855, 374, 500 is 1
2. Where do I get the detailed procedure to find GCD of 590, 855, 374, 500?
You can find a detailed procedure to find GCD of 590, 855, 374, 500 on our page.
3. How to find GCD of 590, 855, 374, 500 on a calculator?
You can find the GCD of 590, 855, 374, 500 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.