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 420, 599, 459, 212 i.e. 1 largest integer that divides all the numbers equally.
GCD of 420, 599, 459, 212 is 1
GCD(420, 599, 459, 212) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 420, 599, 459, 212 is 1
GCD(420, 599, 459, 212) = 1
Given Input numbers are 420, 599, 459, 212
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 420
List of positive integer divisors of 420 that divides 420 without a remainder.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 599
List of positive integer divisors of 599 that divides 599 without a remainder.
1, 599
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 212
List of positive integer divisors of 212 that divides 212 without a remainder.
1, 2, 4, 53, 106, 212
Greatest Common Divisior
We found the divisors of 420, 599, 459, 212 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 599, 459, 212 is 1.
Therefore, GCD of numbers 420, 599, 459, 212 is 1
Given Input Data is 420, 599, 459, 212
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7
Prime Factorization of 599 is 599
Prime Factorization of 459 is 3 x 3 x 3 x 17
Prime Factorization of 212 is 2 x 2 x 53
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(420, 599) = 251580
GCD(420, 599) = ( 420 x 599 ) / 251580
GCD(420, 599) = 251580 / 251580
GCD(420, 599) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 459
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 459) = 459
GCD(1, 459) = ( 1 x 459 ) / 459
GCD(1, 459) = 459 / 459
GCD(1, 459) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 212
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 212) = 212
GCD(1, 212) = ( 1 x 212 ) / 212
GCD(1, 212) = 212 / 212
GCD(1, 212) = 1
GCD of 420, 599, 459, 212 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 420, 599, 459, 212?
GCD of 420, 599, 459, 212 is 1
2. Where do I get the detailed procedure to find GCD of 420, 599, 459, 212?
You can find a detailed procedure to find GCD of 420, 599, 459, 212 on our page.
3. How to find GCD of 420, 599, 459, 212 on a calculator?
You can find the GCD of 420, 599, 459, 212 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.