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 324, 306, 788, 159 i.e. 1 largest integer that divides all the numbers equally.
GCD of 324, 306, 788, 159 is 1
GCD(324, 306, 788, 159) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 324, 306, 788, 159 is 1
GCD(324, 306, 788, 159) = 1
Given Input numbers are 324, 306, 788, 159
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 324
List of positive integer divisors of 324 that divides 324 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
Divisors of 306
List of positive integer divisors of 306 that divides 306 without a remainder.
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
Divisors of 788
List of positive integer divisors of 788 that divides 788 without a remainder.
1, 2, 4, 197, 394, 788
Divisors of 159
List of positive integer divisors of 159 that divides 159 without a remainder.
1, 3, 53, 159
Greatest Common Divisior
We found the divisors of 324, 306, 788, 159 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 324, 306, 788, 159 is 1.
Therefore, GCD of numbers 324, 306, 788, 159 is 1
Given Input Data is 324, 306, 788, 159
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3
Prime Factorization of 306 is 2 x 3 x 3 x 17
Prime Factorization of 788 is 2 x 2 x 197
Prime Factorization of 159 is 3 x 53
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(324, 306) = 5508
GCD(324, 306) = ( 324 x 306 ) / 5508
GCD(324, 306) = 99144 / 5508
GCD(324, 306) = 18
Step2:
Here we consider the GCD from the above i.e. 18 as first number and the next as 788
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(18, 788) = 7092
GCD(18, 788) = ( 18 x 788 ) / 7092
GCD(18, 788) = 14184 / 7092
GCD(18, 788) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 159
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 159) = 318
GCD(2, 159) = ( 2 x 159 ) / 318
GCD(2, 159) = 318 / 318
GCD(2, 159) = 1
GCD of 324, 306, 788, 159 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 324, 306, 788, 159?
GCD of 324, 306, 788, 159 is 1
2. Where do I get the detailed procedure to find GCD of 324, 306, 788, 159?
You can find a detailed procedure to find GCD of 324, 306, 788, 159 on our page.
3. How to find GCD of 324, 306, 788, 159 on a calculator?
You can find the GCD of 324, 306, 788, 159 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.