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, 308, 450, 435 i.e. 1 largest integer that divides all the numbers equally.
GCD of 323, 308, 450, 435 is 1
GCD(323, 308, 450, 435) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 323, 308, 450, 435 is 1
GCD(323, 308, 450, 435) = 1
Given Input numbers are 323, 308, 450, 435
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 308
List of positive integer divisors of 308 that divides 308 without a remainder.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Divisors of 450
List of positive integer divisors of 450 that divides 450 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
Divisors of 435
List of positive integer divisors of 435 that divides 435 without a remainder.
1, 3, 5, 15, 29, 87, 145, 435
Greatest Common Divisior
We found the divisors of 323, 308, 450, 435 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 323, 308, 450, 435 is 1.
Therefore, GCD of numbers 323, 308, 450, 435 is 1
Given Input Data is 323, 308, 450, 435
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 323 is 17 x 19
Prime Factorization of 308 is 2 x 2 x 7 x 11
Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5
Prime Factorization of 435 is 3 x 5 x 29
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, 308) = 99484
GCD(323, 308) = ( 323 x 308 ) / 99484
GCD(323, 308) = 99484 / 99484
GCD(323, 308) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 450
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 450) = 450
GCD(1, 450) = ( 1 x 450 ) / 450
GCD(1, 450) = 450 / 450
GCD(1, 450) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 435
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 435) = 435
GCD(1, 435) = ( 1 x 435 ) / 435
GCD(1, 435) = 435 / 435
GCD(1, 435) = 1
GCD of 323, 308, 450, 435 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 323, 308, 450, 435?
GCD of 323, 308, 450, 435 is 1
2. Where do I get the detailed procedure to find GCD of 323, 308, 450, 435?
You can find a detailed procedure to find GCD of 323, 308, 450, 435 on our page.
3. How to find GCD of 323, 308, 450, 435 on a calculator?
You can find the GCD of 323, 308, 450, 435 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.