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 13, 364, 255, 833 i.e. 1 largest integer that divides all the numbers equally.
GCD of 13, 364, 255, 833 is 1
GCD(13, 364, 255, 833) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 13, 364, 255, 833 is 1
GCD(13, 364, 255, 833) = 1
Given Input numbers are 13, 364, 255, 833
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 364
List of positive integer divisors of 364 that divides 364 without a remainder.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Divisors of 255
List of positive integer divisors of 255 that divides 255 without a remainder.
1, 3, 5, 15, 17, 51, 85, 255
Divisors of 833
List of positive integer divisors of 833 that divides 833 without a remainder.
1, 7, 17, 49, 119, 833
Greatest Common Divisior
We found the divisors of 13, 364, 255, 833 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 13, 364, 255, 833 is 1.
Therefore, GCD of numbers 13, 364, 255, 833 is 1
Given Input Data is 13, 364, 255, 833
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 13 is 13
Prime Factorization of 364 is 2 x 2 x 7 x 13
Prime Factorization of 255 is 3 x 5 x 17
Prime Factorization of 833 is 7 x 7 x 17
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(13, 364) = 364
GCD(13, 364) = ( 13 x 364 ) / 364
GCD(13, 364) = 4732 / 364
GCD(13, 364) = 13
Step2:
Here we consider the GCD from the above i.e. 13 as first number and the next as 255
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(13, 255) = 3315
GCD(13, 255) = ( 13 x 255 ) / 3315
GCD(13, 255) = 3315 / 3315
GCD(13, 255) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 833
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 833) = 833
GCD(1, 833) = ( 1 x 833 ) / 833
GCD(1, 833) = 833 / 833
GCD(1, 833) = 1
GCD of 13, 364, 255, 833 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 13, 364, 255, 833?
GCD of 13, 364, 255, 833 is 1
2. Where do I get the detailed procedure to find GCD of 13, 364, 255, 833?
You can find a detailed procedure to find GCD of 13, 364, 255, 833 on our page.
3. How to find GCD of 13, 364, 255, 833 on a calculator?
You can find the GCD of 13, 364, 255, 833 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.