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 614, 660, 335, 604 i.e. 1 largest integer that divides all the numbers equally.
GCD of 614, 660, 335, 604 is 1
GCD(614, 660, 335, 604) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 614, 660, 335, 604 is 1
GCD(614, 660, 335, 604) = 1
Given Input numbers are 614, 660, 335, 604
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 614
List of positive integer divisors of 614 that divides 614 without a remainder.
1, 2, 307, 614
Divisors of 660
List of positive integer divisors of 660 that divides 660 without a remainder.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 335
List of positive integer divisors of 335 that divides 335 without a remainder.
1, 5, 67, 335
Divisors of 604
List of positive integer divisors of 604 that divides 604 without a remainder.
1, 2, 4, 151, 302, 604
Greatest Common Divisior
We found the divisors of 614, 660, 335, 604 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 614, 660, 335, 604 is 1.
Therefore, GCD of numbers 614, 660, 335, 604 is 1
Given Input Data is 614, 660, 335, 604
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 614 is 2 x 307
Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11
Prime Factorization of 335 is 5 x 67
Prime Factorization of 604 is 2 x 2 x 151
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(614, 660) = 202620
GCD(614, 660) = ( 614 x 660 ) / 202620
GCD(614, 660) = 405240 / 202620
GCD(614, 660) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 335
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 335) = 670
GCD(2, 335) = ( 2 x 335 ) / 670
GCD(2, 335) = 670 / 670
GCD(2, 335) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 604
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 604) = 604
GCD(1, 604) = ( 1 x 604 ) / 604
GCD(1, 604) = 604 / 604
GCD(1, 604) = 1
GCD of 614, 660, 335, 604 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 614, 660, 335, 604?
GCD of 614, 660, 335, 604 is 1
2. Where do I get the detailed procedure to find GCD of 614, 660, 335, 604?
You can find a detailed procedure to find GCD of 614, 660, 335, 604 on our page.
3. How to find GCD of 614, 660, 335, 604 on a calculator?
You can find the GCD of 614, 660, 335, 604 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.