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 304, 327, 80, 117 i.e. 1 largest integer that divides all the numbers equally.
GCD of 304, 327, 80, 117 is 1
GCD(304, 327, 80, 117) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 304, 327, 80, 117 is 1
GCD(304, 327, 80, 117) = 1
Given Input numbers are 304, 327, 80, 117
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 304
List of positive integer divisors of 304 that divides 304 without a remainder.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
Divisors of 327
List of positive integer divisors of 327 that divides 327 without a remainder.
1, 3, 109, 327
Divisors of 80
List of positive integer divisors of 80 that divides 80 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Divisors of 117
List of positive integer divisors of 117 that divides 117 without a remainder.
1, 3, 9, 13, 39, 117
Greatest Common Divisior
We found the divisors of 304, 327, 80, 117 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 304, 327, 80, 117 is 1.
Therefore, GCD of numbers 304, 327, 80, 117 is 1
Given Input Data is 304, 327, 80, 117
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19
Prime Factorization of 327 is 3 x 109
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 117 is 3 x 3 x 13
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(304, 327) = 99408
GCD(304, 327) = ( 304 x 327 ) / 99408
GCD(304, 327) = 99408 / 99408
GCD(304, 327) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 80
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 80) = 80
GCD(1, 80) = ( 1 x 80 ) / 80
GCD(1, 80) = 80 / 80
GCD(1, 80) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 117
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 117) = 117
GCD(1, 117) = ( 1 x 117 ) / 117
GCD(1, 117) = 117 / 117
GCD(1, 117) = 1
GCD of 304, 327, 80, 117 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 304, 327, 80, 117?
GCD of 304, 327, 80, 117 is 1
2. Where do I get the detailed procedure to find GCD of 304, 327, 80, 117?
You can find a detailed procedure to find GCD of 304, 327, 80, 117 on our page.
3. How to find GCD of 304, 327, 80, 117 on a calculator?
You can find the GCD of 304, 327, 80, 117 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.