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 309, 299, 95, 432 i.e. 1 largest integer that divides all the numbers equally.
GCD of 309, 299, 95, 432 is 1
GCD(309, 299, 95, 432) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 309, 299, 95, 432 is 1
GCD(309, 299, 95, 432) = 1
Given Input numbers are 309, 299, 95, 432
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 309
List of positive integer divisors of 309 that divides 309 without a remainder.
1, 3, 103, 309
Divisors of 299
List of positive integer divisors of 299 that divides 299 without a remainder.
1, 13, 23, 299
Divisors of 95
List of positive integer divisors of 95 that divides 95 without a remainder.
1, 5, 19, 95
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 309, 299, 95, 432 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 299, 95, 432 is 1.
Therefore, GCD of numbers 309, 299, 95, 432 is 1
Given Input Data is 309, 299, 95, 432
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 309 is 3 x 103
Prime Factorization of 299 is 13 x 23
Prime Factorization of 95 is 5 x 19
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(309, 299) = 92391
GCD(309, 299) = ( 309 x 299 ) / 92391
GCD(309, 299) = 92391 / 92391
GCD(309, 299) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 95
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 95) = 95
GCD(1, 95) = ( 1 x 95 ) / 95
GCD(1, 95) = 95 / 95
GCD(1, 95) = 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 309, 299, 95, 432 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 309, 299, 95, 432?
GCD of 309, 299, 95, 432 is 1
2. Where do I get the detailed procedure to find GCD of 309, 299, 95, 432?
You can find a detailed procedure to find GCD of 309, 299, 95, 432 on our page.
3. How to find GCD of 309, 299, 95, 432 on a calculator?
You can find the GCD of 309, 299, 95, 432 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.