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 234, 233, 72, 733 i.e. 1 largest integer that divides all the numbers equally.
GCD of 234, 233, 72, 733 is 1
GCD(234, 233, 72, 733) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 234, 233, 72, 733 is 1
GCD(234, 233, 72, 733) = 1
Given Input numbers are 234, 233, 72, 733
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 234
List of positive integer divisors of 234 that divides 234 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
Divisors of 233
List of positive integer divisors of 233 that divides 233 without a remainder.
1, 233
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 733
List of positive integer divisors of 733 that divides 733 without a remainder.
1, 733
Greatest Common Divisior
We found the divisors of 234, 233, 72, 733 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 234, 233, 72, 733 is 1.
Therefore, GCD of numbers 234, 233, 72, 733 is 1
Given Input Data is 234, 233, 72, 733
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 234 is 2 x 3 x 3 x 13
Prime Factorization of 233 is 233
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 733 is 733
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(234, 233) = 54522
GCD(234, 233) = ( 234 x 233 ) / 54522
GCD(234, 233) = 54522 / 54522
GCD(234, 233) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 72) = 72
GCD(1, 72) = ( 1 x 72 ) / 72
GCD(1, 72) = 72 / 72
GCD(1, 72) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 733
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 733) = 733
GCD(1, 733) = ( 1 x 733 ) / 733
GCD(1, 733) = 733 / 733
GCD(1, 733) = 1
GCD of 234, 233, 72, 733 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 234, 233, 72, 733?
GCD of 234, 233, 72, 733 is 1
2. Where do I get the detailed procedure to find GCD of 234, 233, 72, 733?
You can find a detailed procedure to find GCD of 234, 233, 72, 733 on our page.
3. How to find GCD of 234, 233, 72, 733 on a calculator?
You can find the GCD of 234, 233, 72, 733 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.