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 208, 299, 33, 823 i.e. 1 largest integer that divides all the numbers equally.
GCD of 208, 299, 33, 823 is 1
GCD(208, 299, 33, 823) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 208, 299, 33, 823 is 1
GCD(208, 299, 33, 823) = 1
Given Input numbers are 208, 299, 33, 823
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 208
List of positive integer divisors of 208 that divides 208 without a remainder.
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
Divisors of 299
List of positive integer divisors of 299 that divides 299 without a remainder.
1, 13, 23, 299
Divisors of 33
List of positive integer divisors of 33 that divides 33 without a remainder.
1, 3, 11, 33
Divisors of 823
List of positive integer divisors of 823 that divides 823 without a remainder.
1, 823
Greatest Common Divisior
We found the divisors of 208, 299, 33, 823 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 208, 299, 33, 823 is 1.
Therefore, GCD of numbers 208, 299, 33, 823 is 1
Given Input Data is 208, 299, 33, 823
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13
Prime Factorization of 299 is 13 x 23
Prime Factorization of 33 is 3 x 11
Prime Factorization of 823 is 823
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(208, 299) = 4784
GCD(208, 299) = ( 208 x 299 ) / 4784
GCD(208, 299) = 62192 / 4784
GCD(208, 299) = 13
Step2:
Here we consider the GCD from the above i.e. 13 as first number and the next as 33
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(13, 33) = 429
GCD(13, 33) = ( 13 x 33 ) / 429
GCD(13, 33) = 429 / 429
GCD(13, 33) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 823
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 823) = 823
GCD(1, 823) = ( 1 x 823 ) / 823
GCD(1, 823) = 823 / 823
GCD(1, 823) = 1
GCD of 208, 299, 33, 823 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 208, 299, 33, 823?
GCD of 208, 299, 33, 823 is 1
2. Where do I get the detailed procedure to find GCD of 208, 299, 33, 823?
You can find a detailed procedure to find GCD of 208, 299, 33, 823 on our page.
3. How to find GCD of 208, 299, 33, 823 on a calculator?
You can find the GCD of 208, 299, 33, 823 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.