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 33, 721, 605, 441 i.e. 1 largest integer that divides all the numbers equally.
GCD of 33, 721, 605, 441 is 1
GCD(33, 721, 605, 441) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 33, 721, 605, 441 is 1
GCD(33, 721, 605, 441) = 1
Given Input numbers are 33, 721, 605, 441
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 33
List of positive integer divisors of 33 that divides 33 without a remainder.
1, 3, 11, 33
Divisors of 721
List of positive integer divisors of 721 that divides 721 without a remainder.
1, 7, 103, 721
Divisors of 605
List of positive integer divisors of 605 that divides 605 without a remainder.
1, 5, 11, 55, 121, 605
Divisors of 441
List of positive integer divisors of 441 that divides 441 without a remainder.
1, 3, 7, 9, 21, 49, 63, 147, 441
Greatest Common Divisior
We found the divisors of 33, 721, 605, 441 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 33, 721, 605, 441 is 1.
Therefore, GCD of numbers 33, 721, 605, 441 is 1
Given Input Data is 33, 721, 605, 441
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 33 is 3 x 11
Prime Factorization of 721 is 7 x 103
Prime Factorization of 605 is 5 x 11 x 11
Prime Factorization of 441 is 3 x 3 x 7 x 7
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(33, 721) = 23793
GCD(33, 721) = ( 33 x 721 ) / 23793
GCD(33, 721) = 23793 / 23793
GCD(33, 721) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 605
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 605) = 605
GCD(1, 605) = ( 1 x 605 ) / 605
GCD(1, 605) = 605 / 605
GCD(1, 605) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 441
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 441) = 441
GCD(1, 441) = ( 1 x 441 ) / 441
GCD(1, 441) = 441 / 441
GCD(1, 441) = 1
GCD of 33, 721, 605, 441 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 33, 721, 605, 441?
GCD of 33, 721, 605, 441 is 1
2. Where do I get the detailed procedure to find GCD of 33, 721, 605, 441?
You can find a detailed procedure to find GCD of 33, 721, 605, 441 on our page.
3. How to find GCD of 33, 721, 605, 441 on a calculator?
You can find the GCD of 33, 721, 605, 441 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.