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, 510, 933, 918 i.e. 3 largest integer that divides all the numbers equally.
GCD of 432, 510, 933, 918 is 3
GCD(432, 510, 933, 918) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 432, 510, 933, 918 is 3
GCD(432, 510, 933, 918) = 3
Given Input numbers are 432, 510, 933, 918
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 510
List of positive integer divisors of 510 that divides 510 without a remainder.
1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
Divisors of 933
List of positive integer divisors of 933 that divides 933 without a remainder.
1, 3, 311, 933
Divisors of 918
List of positive integer divisors of 918 that divides 918 without a remainder.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Greatest Common Divisior
We found the divisors of 432, 510, 933, 918 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 432, 510, 933, 918 is 3.
Therefore, GCD of numbers 432, 510, 933, 918 is 3
Given Input Data is 432, 510, 933, 918
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 510 is 2 x 3 x 5 x 17
Prime Factorization of 933 is 3 x 311
Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17
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, 510) = 36720
GCD(432, 510) = ( 432 x 510 ) / 36720
GCD(432, 510) = 220320 / 36720
GCD(432, 510) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 933
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 933) = 1866
GCD(6, 933) = ( 6 x 933 ) / 1866
GCD(6, 933) = 5598 / 1866
GCD(6, 933) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 918
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 918) = 918
GCD(3, 918) = ( 3 x 918 ) / 918
GCD(3, 918) = 2754 / 918
GCD(3, 918) = 3
GCD of 432, 510, 933, 918 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 432, 510, 933, 918?
GCD of 432, 510, 933, 918 is 3
2. Where do I get the detailed procedure to find GCD of 432, 510, 933, 918?
You can find a detailed procedure to find GCD of 432, 510, 933, 918 on our page.
3. How to find GCD of 432, 510, 933, 918 on a calculator?
You can find the GCD of 432, 510, 933, 918 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.