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 503, 918, 33 i.e. 1 largest integer that divides all the numbers equally.
GCD of 503, 918, 33 is 1
GCD(503, 918, 33) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 503, 918, 33 is 1
GCD(503, 918, 33) = 1
Given Input numbers are 503, 918, 33
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 503
List of positive integer divisors of 503 that divides 503 without a remainder.
1, 503
Divisors of 918
List of positive integer divisors of 918 that divides 918 without a remainder.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Divisors of 33
List of positive integer divisors of 33 that divides 33 without a remainder.
1, 3, 11, 33
Greatest Common Divisior
We found the divisors of 503, 918, 33 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 503, 918, 33 is 1.
Therefore, GCD of numbers 503, 918, 33 is 1
Given Input Data is 503, 918, 33
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 503 is 503
Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17
Prime Factorization of 33 is 3 x 11
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(503, 918) = 461754
GCD(503, 918) = ( 503 x 918 ) / 461754
GCD(503, 918) = 461754 / 461754
GCD(503, 918) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 33
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 33) = 33
GCD(1, 33) = ( 1 x 33 ) / 33
GCD(1, 33) = 33 / 33
GCD(1, 33) = 1
GCD of 503, 918, 33 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 503, 918, 33?
GCD of 503, 918, 33 is 1
2. Where do I get the detailed procedure to find GCD of 503, 918, 33?
You can find a detailed procedure to find GCD of 503, 918, 33 on our page.
3. How to find GCD of 503, 918, 33 on a calculator?
You can find the GCD of 503, 918, 33 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.