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, 413, 970 i.e. 1 largest integer that divides all the numbers equally.
GCD of 590, 413, 970 is 1
GCD(590, 413, 970) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 590, 413, 970 is 1
GCD(590, 413, 970) = 1
Given Input numbers are 590, 413, 970
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 413
List of positive integer divisors of 413 that divides 413 without a remainder.
1, 7, 59, 413
Divisors of 970
List of positive integer divisors of 970 that divides 970 without a remainder.
1, 2, 5, 10, 97, 194, 485, 970
Greatest Common Divisior
We found the divisors of 590, 413, 970 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 590, 413, 970 is 1.
Therefore, GCD of numbers 590, 413, 970 is 1
Given Input Data is 590, 413, 970
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 413 is 7 x 59
Prime Factorization of 970 is 2 x 5 x 97
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, 413) = 4130
GCD(590, 413) = ( 590 x 413 ) / 4130
GCD(590, 413) = 243670 / 4130
GCD(590, 413) = 59
Step2:
Here we consider the GCD from the above i.e. 59 as first number and the next as 970
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(59, 970) = 57230
GCD(59, 970) = ( 59 x 970 ) / 57230
GCD(59, 970) = 57230 / 57230
GCD(59, 970) = 1
GCD of 590, 413, 970 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 590, 413, 970?
GCD of 590, 413, 970 is 1
2. Where do I get the detailed procedure to find GCD of 590, 413, 970?
You can find a detailed procedure to find GCD of 590, 413, 970 on our page.
3. How to find GCD of 590, 413, 970 on a calculator?
You can find the GCD of 590, 413, 970 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.