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 460, 322, 13, 658 i.e. 1 largest integer that divides all the numbers equally.
GCD of 460, 322, 13, 658 is 1
GCD(460, 322, 13, 658) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 460, 322, 13, 658 is 1
GCD(460, 322, 13, 658) = 1
Given Input numbers are 460, 322, 13, 658
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 460
List of positive integer divisors of 460 that divides 460 without a remainder.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
Divisors of 322
List of positive integer divisors of 322 that divides 322 without a remainder.
1, 2, 7, 14, 23, 46, 161, 322
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 658
List of positive integer divisors of 658 that divides 658 without a remainder.
1, 2, 7, 14, 47, 94, 329, 658
Greatest Common Divisior
We found the divisors of 460, 322, 13, 658 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 322, 13, 658 is 1.
Therefore, GCD of numbers 460, 322, 13, 658 is 1
Given Input Data is 460, 322, 13, 658
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 460 is 2 x 2 x 5 x 23
Prime Factorization of 322 is 2 x 7 x 23
Prime Factorization of 13 is 13
Prime Factorization of 658 is 2 x 7 x 47
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(460, 322) = 3220
GCD(460, 322) = ( 460 x 322 ) / 3220
GCD(460, 322) = 148120 / 3220
GCD(460, 322) = 46
Step2:
Here we consider the GCD from the above i.e. 46 as first number and the next as 13
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(46, 13) = 598
GCD(46, 13) = ( 46 x 13 ) / 598
GCD(46, 13) = 598 / 598
GCD(46, 13) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 658
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 658) = 658
GCD(1, 658) = ( 1 x 658 ) / 658
GCD(1, 658) = 658 / 658
GCD(1, 658) = 1
GCD of 460, 322, 13, 658 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 460, 322, 13, 658?
GCD of 460, 322, 13, 658 is 1
2. Where do I get the detailed procedure to find GCD of 460, 322, 13, 658?
You can find a detailed procedure to find GCD of 460, 322, 13, 658 on our page.
3. How to find GCD of 460, 322, 13, 658 on a calculator?
You can find the GCD of 460, 322, 13, 658 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.