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 459, 814, 60, 214 i.e. 1 largest integer that divides all the numbers equally.
GCD of 459, 814, 60, 214 is 1
GCD(459, 814, 60, 214) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 459, 814, 60, 214 is 1
GCD(459, 814, 60, 214) = 1
Given Input numbers are 459, 814, 60, 214
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 459
List of positive integer divisors of 459 that divides 459 without a remainder.
1, 3, 9, 17, 27, 51, 153, 459
Divisors of 814
List of positive integer divisors of 814 that divides 814 without a remainder.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Divisors of 214
List of positive integer divisors of 214 that divides 214 without a remainder.
1, 2, 107, 214
Greatest Common Divisior
We found the divisors of 459, 814, 60, 214 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 459, 814, 60, 214 is 1.
Therefore, GCD of numbers 459, 814, 60, 214 is 1
Given Input Data is 459, 814, 60, 214
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 459 is 3 x 3 x 3 x 17
Prime Factorization of 814 is 2 x 11 x 37
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 214 is 2 x 107
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(459, 814) = 373626
GCD(459, 814) = ( 459 x 814 ) / 373626
GCD(459, 814) = 373626 / 373626
GCD(459, 814) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 60
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 60) = 60
GCD(1, 60) = ( 1 x 60 ) / 60
GCD(1, 60) = 60 / 60
GCD(1, 60) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 214
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 214) = 214
GCD(1, 214) = ( 1 x 214 ) / 214
GCD(1, 214) = 214 / 214
GCD(1, 214) = 1
GCD of 459, 814, 60, 214 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 459, 814, 60, 214?
GCD of 459, 814, 60, 214 is 1
2. Where do I get the detailed procedure to find GCD of 459, 814, 60, 214?
You can find a detailed procedure to find GCD of 459, 814, 60, 214 on our page.
3. How to find GCD of 459, 814, 60, 214 on a calculator?
You can find the GCD of 459, 814, 60, 214 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.