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 459, 733, 41, 135 i.e. 1 largest integer that divides all the numbers equally.
GCD of 459, 733, 41, 135 is 1
GCD(459, 733, 41, 135) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 459, 733, 41, 135 is 1
GCD(459, 733, 41, 135) = 1
Given Input numbers are 459, 733, 41, 135
To find the GCD of numbers using factoring list out all the divisors of each number
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 733
List of positive integer divisors of 733 that divides 733 without a remainder.
1, 733
Divisors of 41
List of positive integer divisors of 41 that divides 41 without a remainder.
1, 41
Divisors of 135
List of positive integer divisors of 135 that divides 135 without a remainder.
1, 3, 5, 9, 15, 27, 45, 135
Greatest Common Divisior
We found the divisors of 459, 733, 41, 135 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 459, 733, 41, 135 is 1.
Therefore, GCD of numbers 459, 733, 41, 135 is 1
Given Input Data is 459, 733, 41, 135
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 459 is 3 x 3 x 3 x 17
Prime Factorization of 733 is 733
Prime Factorization of 41 is 41
Prime Factorization of 135 is 3 x 3 x 3 x 5
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(459, 733) = 336447
GCD(459, 733) = ( 459 x 733 ) / 336447
GCD(459, 733) = 336447 / 336447
GCD(459, 733) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 41
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 41) = 41
GCD(1, 41) = ( 1 x 41 ) / 41
GCD(1, 41) = 41 / 41
GCD(1, 41) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 135
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 135) = 135
GCD(1, 135) = ( 1 x 135 ) / 135
GCD(1, 135) = 135 / 135
GCD(1, 135) = 1
GCD of 459, 733, 41, 135 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 459, 733, 41, 135?
GCD of 459, 733, 41, 135 is 1
2. Where do I get the detailed procedure to find GCD of 459, 733, 41, 135?
You can find a detailed procedure to find GCD of 459, 733, 41, 135 on our page.
3. How to find GCD of 459, 733, 41, 135 on a calculator?
You can find the GCD of 459, 733, 41, 135 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.