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 29, 459, 234, 134 i.e. 1 largest integer that divides all the numbers equally.
GCD of 29, 459, 234, 134 is 1
GCD(29, 459, 234, 134) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 29, 459, 234, 134 is 1
GCD(29, 459, 234, 134) = 1
Given Input numbers are 29, 459, 234, 134
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 29
List of positive integer divisors of 29 that divides 29 without a remainder.
1, 29
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 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 134
List of positive integer divisors of 134 that divides 134 without a remainder.
1, 2, 67, 134
Greatest Common Divisior
We found the divisors of 29, 459, 234, 134 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 29, 459, 234, 134 is 1.
Therefore, GCD of numbers 29, 459, 234, 134 is 1
Given Input Data is 29, 459, 234, 134
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 29 is 29
Prime Factorization of 459 is 3 x 3 x 3 x 17
Prime Factorization of 234 is 2 x 3 x 3 x 13
Prime Factorization of 134 is 2 x 67
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(29, 459) = 13311
GCD(29, 459) = ( 29 x 459 ) / 13311
GCD(29, 459) = 13311 / 13311
GCD(29, 459) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 234
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 234) = 234
GCD(1, 234) = ( 1 x 234 ) / 234
GCD(1, 234) = 234 / 234
GCD(1, 234) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 134
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 134) = 134
GCD(1, 134) = ( 1 x 134 ) / 134
GCD(1, 134) = 134 / 134
GCD(1, 134) = 1
GCD of 29, 459, 234, 134 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 29, 459, 234, 134?
GCD of 29, 459, 234, 134 is 1
2. Where do I get the detailed procedure to find GCD of 29, 459, 234, 134?
You can find a detailed procedure to find GCD of 29, 459, 234, 134 on our page.
3. How to find GCD of 29, 459, 234, 134 on a calculator?
You can find the GCD of 29, 459, 234, 134 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.