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 803, 333, 13, 578 i.e. 1 largest integer that divides all the numbers equally.
GCD of 803, 333, 13, 578 is 1
GCD(803, 333, 13, 578) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 803, 333, 13, 578 is 1
GCD(803, 333, 13, 578) = 1
Given Input numbers are 803, 333, 13, 578
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 803
List of positive integer divisors of 803 that divides 803 without a remainder.
1, 11, 73, 803
Divisors of 333
List of positive integer divisors of 333 that divides 333 without a remainder.
1, 3, 9, 37, 111, 333
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 578
List of positive integer divisors of 578 that divides 578 without a remainder.
1, 2, 17, 34, 289, 578
Greatest Common Divisior
We found the divisors of 803, 333, 13, 578 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 803, 333, 13, 578 is 1.
Therefore, GCD of numbers 803, 333, 13, 578 is 1
Given Input Data is 803, 333, 13, 578
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 803 is 11 x 73
Prime Factorization of 333 is 3 x 3 x 37
Prime Factorization of 13 is 13
Prime Factorization of 578 is 2 x 17 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(803, 333) = 267399
GCD(803, 333) = ( 803 x 333 ) / 267399
GCD(803, 333) = 267399 / 267399
GCD(803, 333) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 13
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 13) = 13
GCD(1, 13) = ( 1 x 13 ) / 13
GCD(1, 13) = 13 / 13
GCD(1, 13) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 578
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 578) = 578
GCD(1, 578) = ( 1 x 578 ) / 578
GCD(1, 578) = 578 / 578
GCD(1, 578) = 1
GCD of 803, 333, 13, 578 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 803, 333, 13, 578?
GCD of 803, 333, 13, 578 is 1
2. Where do I get the detailed procedure to find GCD of 803, 333, 13, 578?
You can find a detailed procedure to find GCD of 803, 333, 13, 578 on our page.
3. How to find GCD of 803, 333, 13, 578 on a calculator?
You can find the GCD of 803, 333, 13, 578 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.