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, 663, 83, 543 i.e. 1 largest integer that divides all the numbers equally.
GCD of 432, 663, 83, 543 is 1
GCD(432, 663, 83, 543) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 432, 663, 83, 543 is 1
GCD(432, 663, 83, 543) = 1
Given Input numbers are 432, 663, 83, 543
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 663
List of positive integer divisors of 663 that divides 663 without a remainder.
1, 3, 13, 17, 39, 51, 221, 663
Divisors of 83
List of positive integer divisors of 83 that divides 83 without a remainder.
1, 83
Divisors of 543
List of positive integer divisors of 543 that divides 543 without a remainder.
1, 3, 181, 543
Greatest Common Divisior
We found the divisors of 432, 663, 83, 543 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 432, 663, 83, 543 is 1.
Therefore, GCD of numbers 432, 663, 83, 543 is 1
Given Input Data is 432, 663, 83, 543
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 663 is 3 x 13 x 17
Prime Factorization of 83 is 83
Prime Factorization of 543 is 3 x 181
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, 663) = 95472
GCD(432, 663) = ( 432 x 663 ) / 95472
GCD(432, 663) = 286416 / 95472
GCD(432, 663) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 83
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 83) = 249
GCD(3, 83) = ( 3 x 83 ) / 249
GCD(3, 83) = 249 / 249
GCD(3, 83) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 543
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 543) = 543
GCD(1, 543) = ( 1 x 543 ) / 543
GCD(1, 543) = 543 / 543
GCD(1, 543) = 1
GCD of 432, 663, 83, 543 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 432, 663, 83, 543?
GCD of 432, 663, 83, 543 is 1
2. Where do I get the detailed procedure to find GCD of 432, 663, 83, 543?
You can find a detailed procedure to find GCD of 432, 663, 83, 543 on our page.
3. How to find GCD of 432, 663, 83, 543 on a calculator?
You can find the GCD of 432, 663, 83, 543 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.