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 323, 435, 628, 432 i.e. 1 largest integer that divides all the numbers equally.
GCD of 323, 435, 628, 432 is 1
GCD(323, 435, 628, 432) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 323, 435, 628, 432 is 1
GCD(323, 435, 628, 432) = 1
Given Input numbers are 323, 435, 628, 432
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 323
List of positive integer divisors of 323 that divides 323 without a remainder.
1, 17, 19, 323
Divisors of 435
List of positive integer divisors of 435 that divides 435 without a remainder.
1, 3, 5, 15, 29, 87, 145, 435
Divisors of 628
List of positive integer divisors of 628 that divides 628 without a remainder.
1, 2, 4, 157, 314, 628
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
Greatest Common Divisior
We found the divisors of 323, 435, 628, 432 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 323, 435, 628, 432 is 1.
Therefore, GCD of numbers 323, 435, 628, 432 is 1
Given Input Data is 323, 435, 628, 432
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 323 is 17 x 19
Prime Factorization of 435 is 3 x 5 x 29
Prime Factorization of 628 is 2 x 2 x 157
Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3
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(323, 435) = 140505
GCD(323, 435) = ( 323 x 435 ) / 140505
GCD(323, 435) = 140505 / 140505
GCD(323, 435) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 628
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 628) = 628
GCD(1, 628) = ( 1 x 628 ) / 628
GCD(1, 628) = 628 / 628
GCD(1, 628) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 432
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 432) = 432
GCD(1, 432) = ( 1 x 432 ) / 432
GCD(1, 432) = 432 / 432
GCD(1, 432) = 1
GCD of 323, 435, 628, 432 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 323, 435, 628, 432?
GCD of 323, 435, 628, 432 is 1
2. Where do I get the detailed procedure to find GCD of 323, 435, 628, 432?
You can find a detailed procedure to find GCD of 323, 435, 628, 432 on our page.
3. How to find GCD of 323, 435, 628, 432 on a calculator?
You can find the GCD of 323, 435, 628, 432 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.