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 413, 432, 80, 429 i.e. 1 largest integer that divides all the numbers equally.
GCD of 413, 432, 80, 429 is 1
GCD(413, 432, 80, 429) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 413, 432, 80, 429 is 1
GCD(413, 432, 80, 429) = 1
Given Input numbers are 413, 432, 80, 429
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 413
List of positive integer divisors of 413 that divides 413 without a remainder.
1, 7, 59, 413
Divisors of 432
List of positive integer divisors of 432 that divides 432 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Divisors of 80
List of positive integer divisors of 80 that divides 80 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Divisors of 429
List of positive integer divisors of 429 that divides 429 without a remainder.
1, 3, 11, 13, 33, 39, 143, 429
Greatest Common Divisior
We found the divisors of 413, 432, 80, 429 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 413, 432, 80, 429 is 1.
Therefore, GCD of numbers 413, 432, 80, 429 is 1
Given Input Data is 413, 432, 80, 429
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 413 is 7 x 59
Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 429 is 3 x 11 x 13
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(413, 432) = 178416
GCD(413, 432) = ( 413 x 432 ) / 178416
GCD(413, 432) = 178416 / 178416
GCD(413, 432) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 80
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 80) = 80
GCD(1, 80) = ( 1 x 80 ) / 80
GCD(1, 80) = 80 / 80
GCD(1, 80) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 429
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 429) = 429
GCD(1, 429) = ( 1 x 429 ) / 429
GCD(1, 429) = 429 / 429
GCD(1, 429) = 1
GCD of 413, 432, 80, 429 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 413, 432, 80, 429?
GCD of 413, 432, 80, 429 is 1
2. Where do I get the detailed procedure to find GCD of 413, 432, 80, 429?
You can find a detailed procedure to find GCD of 413, 432, 80, 429 on our page.
3. How to find GCD of 413, 432, 80, 429 on a calculator?
You can find the GCD of 413, 432, 80, 429 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.