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 733, 498, 330, 609 i.e. 1 largest integer that divides all the numbers equally.
GCD of 733, 498, 330, 609 is 1
GCD(733, 498, 330, 609) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 733, 498, 330, 609 is 1
GCD(733, 498, 330, 609) = 1
Given Input numbers are 733, 498, 330, 609
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 733
List of positive integer divisors of 733 that divides 733 without a remainder.
1, 733
Divisors of 498
List of positive integer divisors of 498 that divides 498 without a remainder.
1, 2, 3, 6, 83, 166, 249, 498
Divisors of 330
List of positive integer divisors of 330 that divides 330 without a remainder.
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
Divisors of 609
List of positive integer divisors of 609 that divides 609 without a remainder.
1, 3, 7, 21, 29, 87, 203, 609
Greatest Common Divisior
We found the divisors of 733, 498, 330, 609 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 733, 498, 330, 609 is 1.
Therefore, GCD of numbers 733, 498, 330, 609 is 1
Given Input Data is 733, 498, 330, 609
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 733 is 733
Prime Factorization of 498 is 2 x 3 x 83
Prime Factorization of 330 is 2 x 3 x 5 x 11
Prime Factorization of 609 is 3 x 7 x 29
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(733, 498) = 365034
GCD(733, 498) = ( 733 x 498 ) / 365034
GCD(733, 498) = 365034 / 365034
GCD(733, 498) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 330
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 330) = 330
GCD(1, 330) = ( 1 x 330 ) / 330
GCD(1, 330) = 330 / 330
GCD(1, 330) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 609
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 609) = 609
GCD(1, 609) = ( 1 x 609 ) / 609
GCD(1, 609) = 609 / 609
GCD(1, 609) = 1
GCD of 733, 498, 330, 609 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 733, 498, 330, 609?
GCD of 733, 498, 330, 609 is 1
2. Where do I get the detailed procedure to find GCD of 733, 498, 330, 609?
You can find a detailed procedure to find GCD of 733, 498, 330, 609 on our page.
3. How to find GCD of 733, 498, 330, 609 on a calculator?
You can find the GCD of 733, 498, 330, 609 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.