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 309, 213, 20, 407 i.e. 1 largest integer that divides all the numbers equally.
GCD of 309, 213, 20, 407 is 1
GCD(309, 213, 20, 407) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 309, 213, 20, 407 is 1
GCD(309, 213, 20, 407) = 1
Given Input numbers are 309, 213, 20, 407
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 309
List of positive integer divisors of 309 that divides 309 without a remainder.
1, 3, 103, 309
Divisors of 213
List of positive integer divisors of 213 that divides 213 without a remainder.
1, 3, 71, 213
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
Divisors of 407
List of positive integer divisors of 407 that divides 407 without a remainder.
1, 11, 37, 407
Greatest Common Divisior
We found the divisors of 309, 213, 20, 407 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 213, 20, 407 is 1.
Therefore, GCD of numbers 309, 213, 20, 407 is 1
Given Input Data is 309, 213, 20, 407
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 309 is 3 x 103
Prime Factorization of 213 is 3 x 71
Prime Factorization of 20 is 2 x 2 x 5
Prime Factorization of 407 is 11 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(309, 213) = 21939
GCD(309, 213) = ( 309 x 213 ) / 21939
GCD(309, 213) = 65817 / 21939
GCD(309, 213) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 20
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 20) = 60
GCD(3, 20) = ( 3 x 20 ) / 60
GCD(3, 20) = 60 / 60
GCD(3, 20) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 407
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 407) = 407
GCD(1, 407) = ( 1 x 407 ) / 407
GCD(1, 407) = 407 / 407
GCD(1, 407) = 1
GCD of 309, 213, 20, 407 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 309, 213, 20, 407?
GCD of 309, 213, 20, 407 is 1
2. Where do I get the detailed procedure to find GCD of 309, 213, 20, 407?
You can find a detailed procedure to find GCD of 309, 213, 20, 407 on our page.
3. How to find GCD of 309, 213, 20, 407 on a calculator?
You can find the GCD of 309, 213, 20, 407 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.