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 414, 323, 430, 132 i.e. 1 largest integer that divides all the numbers equally.
GCD of 414, 323, 430, 132 is 1
GCD(414, 323, 430, 132) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 414, 323, 430, 132 is 1
GCD(414, 323, 430, 132) = 1
Given Input numbers are 414, 323, 430, 132
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 414
List of positive integer divisors of 414 that divides 414 without a remainder.
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
Divisors of 323
List of positive integer divisors of 323 that divides 323 without a remainder.
1, 17, 19, 323
Divisors of 430
List of positive integer divisors of 430 that divides 430 without a remainder.
1, 2, 5, 10, 43, 86, 215, 430
Divisors of 132
List of positive integer divisors of 132 that divides 132 without a remainder.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
Greatest Common Divisior
We found the divisors of 414, 323, 430, 132 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 414, 323, 430, 132 is 1.
Therefore, GCD of numbers 414, 323, 430, 132 is 1
Given Input Data is 414, 323, 430, 132
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 414 is 2 x 3 x 3 x 23
Prime Factorization of 323 is 17 x 19
Prime Factorization of 430 is 2 x 5 x 43
Prime Factorization of 132 is 2 x 2 x 3 x 11
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(414, 323) = 133722
GCD(414, 323) = ( 414 x 323 ) / 133722
GCD(414, 323) = 133722 / 133722
GCD(414, 323) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 430
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 430) = 430
GCD(1, 430) = ( 1 x 430 ) / 430
GCD(1, 430) = 430 / 430
GCD(1, 430) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 132
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 132) = 132
GCD(1, 132) = ( 1 x 132 ) / 132
GCD(1, 132) = 132 / 132
GCD(1, 132) = 1
GCD of 414, 323, 430, 132 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 414, 323, 430, 132?
GCD of 414, 323, 430, 132 is 1
2. Where do I get the detailed procedure to find GCD of 414, 323, 430, 132?
You can find a detailed procedure to find GCD of 414, 323, 430, 132 on our page.
3. How to find GCD of 414, 323, 430, 132 on a calculator?
You can find the GCD of 414, 323, 430, 132 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.