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, 100, 591, 985 i.e. 1 largest integer that divides all the numbers equally.
GCD of 304, 100, 591, 985 is 1
GCD(304, 100, 591, 985) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 304, 100, 591, 985 is 1
GCD(304, 100, 591, 985) = 1
Given Input numbers are 304, 100, 591, 985
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 100
List of positive integer divisors of 100 that divides 100 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 100
Divisors of 591
List of positive integer divisors of 591 that divides 591 without a remainder.
1, 3, 197, 591
Divisors of 985
List of positive integer divisors of 985 that divides 985 without a remainder.
1, 5, 197, 985
Greatest Common Divisior
We found the divisors of 304, 100, 591, 985 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 304, 100, 591, 985 is 1.
Therefore, GCD of numbers 304, 100, 591, 985 is 1
Given Input Data is 304, 100, 591, 985
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 100 is 2 x 2 x 5 x 5
Prime Factorization of 591 is 3 x 197
Prime Factorization of 985 is 5 x 197
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, 100) = 7600
GCD(304, 100) = ( 304 x 100 ) / 7600
GCD(304, 100) = 30400 / 7600
GCD(304, 100) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 591
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 591) = 2364
GCD(4, 591) = ( 4 x 591 ) / 2364
GCD(4, 591) = 2364 / 2364
GCD(4, 591) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 985
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 985) = 985
GCD(1, 985) = ( 1 x 985 ) / 985
GCD(1, 985) = 985 / 985
GCD(1, 985) = 1
GCD of 304, 100, 591, 985 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 304, 100, 591, 985?
GCD of 304, 100, 591, 985 is 1
2. Where do I get the detailed procedure to find GCD of 304, 100, 591, 985?
You can find a detailed procedure to find GCD of 304, 100, 591, 985 on our page.
3. How to find GCD of 304, 100, 591, 985 on a calculator?
You can find the GCD of 304, 100, 591, 985 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.