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 432, 720, 429, 502 i.e. 1 largest integer that divides all the numbers equally.
GCD of 432, 720, 429, 502 is 1
GCD(432, 720, 429, 502) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 432, 720, 429, 502 is 1
GCD(432, 720, 429, 502) = 1
Given Input numbers are 432, 720, 429, 502
To find the GCD of numbers using factoring list out all the divisors of each number
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 720
List of positive integer divisors of 720 that divides 720 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 429
List of positive integer divisors of 429 that divides 429 without a remainder.
1, 3, 11, 13, 33, 39, 143, 429
Divisors of 502
List of positive integer divisors of 502 that divides 502 without a remainder.
1, 2, 251, 502
Greatest Common Divisior
We found the divisors of 432, 720, 429, 502 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 432, 720, 429, 502 is 1.
Therefore, GCD of numbers 432, 720, 429, 502 is 1
Given Input Data is 432, 720, 429, 502
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 429 is 3 x 11 x 13
Prime Factorization of 502 is 2 x 251
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(432, 720) = 2160
GCD(432, 720) = ( 432 x 720 ) / 2160
GCD(432, 720) = 311040 / 2160
GCD(432, 720) = 144
Step2:
Here we consider the GCD from the above i.e. 144 as first number and the next as 429
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(144, 429) = 20592
GCD(144, 429) = ( 144 x 429 ) / 20592
GCD(144, 429) = 61776 / 20592
GCD(144, 429) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 502
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 502) = 1506
GCD(3, 502) = ( 3 x 502 ) / 1506
GCD(3, 502) = 1506 / 1506
GCD(3, 502) = 1
GCD of 432, 720, 429, 502 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 432, 720, 429, 502?
GCD of 432, 720, 429, 502 is 1
2. Where do I get the detailed procedure to find GCD of 432, 720, 429, 502?
You can find a detailed procedure to find GCD of 432, 720, 429, 502 on our page.
3. How to find GCD of 432, 720, 429, 502 on a calculator?
You can find the GCD of 432, 720, 429, 502 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.