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 211, 824, 69, 366 i.e. 1 largest integer that divides all the numbers equally.
GCD of 211, 824, 69, 366 is 1
GCD(211, 824, 69, 366) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 211, 824, 69, 366 is 1
GCD(211, 824, 69, 366) = 1
Given Input numbers are 211, 824, 69, 366
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 211
List of positive integer divisors of 211 that divides 211 without a remainder.
1, 211
Divisors of 824
List of positive integer divisors of 824 that divides 824 without a remainder.
1, 2, 4, 8, 103, 206, 412, 824
Divisors of 69
List of positive integer divisors of 69 that divides 69 without a remainder.
1, 3, 23, 69
Divisors of 366
List of positive integer divisors of 366 that divides 366 without a remainder.
1, 2, 3, 6, 61, 122, 183, 366
Greatest Common Divisior
We found the divisors of 211, 824, 69, 366 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 211, 824, 69, 366 is 1.
Therefore, GCD of numbers 211, 824, 69, 366 is 1
Given Input Data is 211, 824, 69, 366
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 211 is 211
Prime Factorization of 824 is 2 x 2 x 2 x 103
Prime Factorization of 69 is 3 x 23
Prime Factorization of 366 is 2 x 3 x 61
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(211, 824) = 173864
GCD(211, 824) = ( 211 x 824 ) / 173864
GCD(211, 824) = 173864 / 173864
GCD(211, 824) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 69
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 69) = 69
GCD(1, 69) = ( 1 x 69 ) / 69
GCD(1, 69) = 69 / 69
GCD(1, 69) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 366
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 366) = 366
GCD(1, 366) = ( 1 x 366 ) / 366
GCD(1, 366) = 366 / 366
GCD(1, 366) = 1
GCD of 211, 824, 69, 366 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 211, 824, 69, 366?
GCD of 211, 824, 69, 366 is 1
2. Where do I get the detailed procedure to find GCD of 211, 824, 69, 366?
You can find a detailed procedure to find GCD of 211, 824, 69, 366 on our page.
3. How to find GCD of 211, 824, 69, 366 on a calculator?
You can find the GCD of 211, 824, 69, 366 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.