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 213, 421, 599, 222 i.e. 1 largest integer that divides all the numbers equally.
GCD of 213, 421, 599, 222 is 1
GCD(213, 421, 599, 222) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 213, 421, 599, 222 is 1
GCD(213, 421, 599, 222) = 1
Given Input numbers are 213, 421, 599, 222
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 213
List of positive integer divisors of 213 that divides 213 without a remainder.
1, 3, 71, 213
Divisors of 421
List of positive integer divisors of 421 that divides 421 without a remainder.
1, 421
Divisors of 599
List of positive integer divisors of 599 that divides 599 without a remainder.
1, 599
Divisors of 222
List of positive integer divisors of 222 that divides 222 without a remainder.
1, 2, 3, 6, 37, 74, 111, 222
Greatest Common Divisior
We found the divisors of 213, 421, 599, 222 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 213, 421, 599, 222 is 1.
Therefore, GCD of numbers 213, 421, 599, 222 is 1
Given Input Data is 213, 421, 599, 222
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 213 is 3 x 71
Prime Factorization of 421 is 421
Prime Factorization of 599 is 599
Prime Factorization of 222 is 2 x 3 x 37
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(213, 421) = 89673
GCD(213, 421) = ( 213 x 421 ) / 89673
GCD(213, 421) = 89673 / 89673
GCD(213, 421) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 599
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 599) = 599
GCD(1, 599) = ( 1 x 599 ) / 599
GCD(1, 599) = 599 / 599
GCD(1, 599) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 222
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 222) = 222
GCD(1, 222) = ( 1 x 222 ) / 222
GCD(1, 222) = 222 / 222
GCD(1, 222) = 1
GCD of 213, 421, 599, 222 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 213, 421, 599, 222?
GCD of 213, 421, 599, 222 is 1
2. Where do I get the detailed procedure to find GCD of 213, 421, 599, 222?
You can find a detailed procedure to find GCD of 213, 421, 599, 222 on our page.
3. How to find GCD of 213, 421, 599, 222 on a calculator?
You can find the GCD of 213, 421, 599, 222 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.