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 168, 591, 409, 658 i.e. 1 largest integer that divides all the numbers equally.
GCD of 168, 591, 409, 658 is 1
GCD(168, 591, 409, 658) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 168, 591, 409, 658 is 1
GCD(168, 591, 409, 658) = 1
Given Input numbers are 168, 591, 409, 658
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 168
List of positive integer divisors of 168 that divides 168 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Divisors of 591
List of positive integer divisors of 591 that divides 591 without a remainder.
1, 3, 197, 591
Divisors of 409
List of positive integer divisors of 409 that divides 409 without a remainder.
1, 409
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 168, 591, 409, 658 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 168, 591, 409, 658 is 1.
Therefore, GCD of numbers 168, 591, 409, 658 is 1
Given Input Data is 168, 591, 409, 658
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7
Prime Factorization of 591 is 3 x 197
Prime Factorization of 409 is 409
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(168, 591) = 33096
GCD(168, 591) = ( 168 x 591 ) / 33096
GCD(168, 591) = 99288 / 33096
GCD(168, 591) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 409
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 409) = 1227
GCD(3, 409) = ( 3 x 409 ) / 1227
GCD(3, 409) = 1227 / 1227
GCD(3, 409) = 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 168, 591, 409, 658 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 168, 591, 409, 658?
GCD of 168, 591, 409, 658 is 1
2. Where do I get the detailed procedure to find GCD of 168, 591, 409, 658?
You can find a detailed procedure to find GCD of 168, 591, 409, 658 on our page.
3. How to find GCD of 168, 591, 409, 658 on a calculator?
You can find the GCD of 168, 591, 409, 658 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.