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, 315, 999, 420 i.e. 3 largest integer that divides all the numbers equally.
GCD of 432, 315, 999, 420 is 3
GCD(432, 315, 999, 420) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 432, 315, 999, 420 is 3
GCD(432, 315, 999, 420) = 3
Given Input numbers are 432, 315, 999, 420
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 315
List of positive integer divisors of 315 that divides 315 without a remainder.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
Divisors of 999
List of positive integer divisors of 999 that divides 999 without a remainder.
1, 3, 9, 27, 37, 111, 333, 999
Divisors of 420
List of positive integer divisors of 420 that divides 420 without a remainder.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Greatest Common Divisior
We found the divisors of 432, 315, 999, 420 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 432, 315, 999, 420 is 3.
Therefore, GCD of numbers 432, 315, 999, 420 is 3
Given Input Data is 432, 315, 999, 420
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 315 is 3 x 3 x 5 x 7
Prime Factorization of 999 is 3 x 3 x 3 x 37
Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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, 315) = 15120
GCD(432, 315) = ( 432 x 315 ) / 15120
GCD(432, 315) = 136080 / 15120
GCD(432, 315) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 999
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 999) = 999
GCD(9, 999) = ( 9 x 999 ) / 999
GCD(9, 999) = 8991 / 999
GCD(9, 999) = 9
Step3:
Here we consider the GCD from the above i.e. 9 as first number and the next as 420
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 420) = 1260
GCD(9, 420) = ( 9 x 420 ) / 1260
GCD(9, 420) = 3780 / 1260
GCD(9, 420) = 3
GCD of 432, 315, 999, 420 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 432, 315, 999, 420?
GCD of 432, 315, 999, 420 is 3
2. Where do I get the detailed procedure to find GCD of 432, 315, 999, 420?
You can find a detailed procedure to find GCD of 432, 315, 999, 420 on our page.
3. How to find GCD of 432, 315, 999, 420 on a calculator?
You can find the GCD of 432, 315, 999, 420 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.