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, 406, 303, 304 i.e. 1 largest integer that divides all the numbers equally.
GCD of 213, 406, 303, 304 is 1
GCD(213, 406, 303, 304) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 213, 406, 303, 304 is 1
GCD(213, 406, 303, 304) = 1
Given Input numbers are 213, 406, 303, 304
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 406
List of positive integer divisors of 406 that divides 406 without a remainder.
1, 2, 7, 14, 29, 58, 203, 406
Divisors of 303
List of positive integer divisors of 303 that divides 303 without a remainder.
1, 3, 101, 303
Divisors of 304
List of positive integer divisors of 304 that divides 304 without a remainder.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
Greatest Common Divisior
We found the divisors of 213, 406, 303, 304 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 213, 406, 303, 304 is 1.
Therefore, GCD of numbers 213, 406, 303, 304 is 1
Given Input Data is 213, 406, 303, 304
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 213 is 3 x 71
Prime Factorization of 406 is 2 x 7 x 29
Prime Factorization of 303 is 3 x 101
Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19
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, 406) = 86478
GCD(213, 406) = ( 213 x 406 ) / 86478
GCD(213, 406) = 86478 / 86478
GCD(213, 406) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 303
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 303) = 303
GCD(1, 303) = ( 1 x 303 ) / 303
GCD(1, 303) = 303 / 303
GCD(1, 303) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 304
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 304) = 304
GCD(1, 304) = ( 1 x 304 ) / 304
GCD(1, 304) = 304 / 304
GCD(1, 304) = 1
GCD of 213, 406, 303, 304 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 213, 406, 303, 304?
GCD of 213, 406, 303, 304 is 1
2. Where do I get the detailed procedure to find GCD of 213, 406, 303, 304?
You can find a detailed procedure to find GCD of 213, 406, 303, 304 on our page.
3. How to find GCD of 213, 406, 303, 304 on a calculator?
You can find the GCD of 213, 406, 303, 304 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.