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, 459, 18, 337 i.e. 1 largest integer that divides all the numbers equally.
GCD of 733, 459, 18, 337 is 1
GCD(733, 459, 18, 337) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 733, 459, 18, 337 is 1
GCD(733, 459, 18, 337) = 1
Given Input numbers are 733, 459, 18, 337
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 459
List of positive integer divisors of 459 that divides 459 without a remainder.
1, 3, 9, 17, 27, 51, 153, 459
Divisors of 18
List of positive integer divisors of 18 that divides 18 without a remainder.
1, 2, 3, 6, 9, 18
Divisors of 337
List of positive integer divisors of 337 that divides 337 without a remainder.
1, 337
Greatest Common Divisior
We found the divisors of 733, 459, 18, 337 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 733, 459, 18, 337 is 1.
Therefore, GCD of numbers 733, 459, 18, 337 is 1
Given Input Data is 733, 459, 18, 337
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 733 is 733
Prime Factorization of 459 is 3 x 3 x 3 x 17
Prime Factorization of 18 is 2 x 3 x 3
Prime Factorization of 337 is 337
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, 459) = 336447
GCD(733, 459) = ( 733 x 459 ) / 336447
GCD(733, 459) = 336447 / 336447
GCD(733, 459) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 18
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 18) = 18
GCD(1, 18) = ( 1 x 18 ) / 18
GCD(1, 18) = 18 / 18
GCD(1, 18) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 337
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 337) = 337
GCD(1, 337) = ( 1 x 337 ) / 337
GCD(1, 337) = 337 / 337
GCD(1, 337) = 1
GCD of 733, 459, 18, 337 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 733, 459, 18, 337?
GCD of 733, 459, 18, 337 is 1
2. Where do I get the detailed procedure to find GCD of 733, 459, 18, 337?
You can find a detailed procedure to find GCD of 733, 459, 18, 337 on our page.
3. How to find GCD of 733, 459, 18, 337 on a calculator?
You can find the GCD of 733, 459, 18, 337 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.