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, 908, 11, 984 i.e. 1 largest integer that divides all the numbers equally.
GCD of 213, 908, 11, 984 is 1
GCD(213, 908, 11, 984) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 213, 908, 11, 984 is 1
GCD(213, 908, 11, 984) = 1
Given Input numbers are 213, 908, 11, 984
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 908
List of positive integer divisors of 908 that divides 908 without a remainder.
1, 2, 4, 227, 454, 908
Divisors of 11
List of positive integer divisors of 11 that divides 11 without a remainder.
1, 11
Divisors of 984
List of positive integer divisors of 984 that divides 984 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
Greatest Common Divisior
We found the divisors of 213, 908, 11, 984 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 213, 908, 11, 984 is 1.
Therefore, GCD of numbers 213, 908, 11, 984 is 1
Given Input Data is 213, 908, 11, 984
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 213 is 3 x 71
Prime Factorization of 908 is 2 x 2 x 227
Prime Factorization of 11 is 11
Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41
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, 908) = 193404
GCD(213, 908) = ( 213 x 908 ) / 193404
GCD(213, 908) = 193404 / 193404
GCD(213, 908) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 11
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 11) = 11
GCD(1, 11) = ( 1 x 11 ) / 11
GCD(1, 11) = 11 / 11
GCD(1, 11) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 984
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 984) = 984
GCD(1, 984) = ( 1 x 984 ) / 984
GCD(1, 984) = 984 / 984
GCD(1, 984) = 1
GCD of 213, 908, 11, 984 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 213, 908, 11, 984?
GCD of 213, 908, 11, 984 is 1
2. Where do I get the detailed procedure to find GCD of 213, 908, 11, 984?
You can find a detailed procedure to find GCD of 213, 908, 11, 984 on our page.
3. How to find GCD of 213, 908, 11, 984 on a calculator?
You can find the GCD of 213, 908, 11, 984 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.