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 99, 328, 245, 316 i.e. 1 largest integer that divides all the numbers equally.
GCD of 99, 328, 245, 316 is 1
GCD(99, 328, 245, 316) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 99, 328, 245, 316 is 1
GCD(99, 328, 245, 316) = 1
Given Input numbers are 99, 328, 245, 316
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 328
List of positive integer divisors of 328 that divides 328 without a remainder.
1, 2, 4, 8, 41, 82, 164, 328
Divisors of 245
List of positive integer divisors of 245 that divides 245 without a remainder.
1, 5, 7, 35, 49, 245
Divisors of 316
List of positive integer divisors of 316 that divides 316 without a remainder.
1, 2, 4, 79, 158, 316
Greatest Common Divisior
We found the divisors of 99, 328, 245, 316 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 99, 328, 245, 316 is 1.
Therefore, GCD of numbers 99, 328, 245, 316 is 1
Given Input Data is 99, 328, 245, 316
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 328 is 2 x 2 x 2 x 41
Prime Factorization of 245 is 5 x 7 x 7
Prime Factorization of 316 is 2 x 2 x 79
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(99, 328) = 32472
GCD(99, 328) = ( 99 x 328 ) / 32472
GCD(99, 328) = 32472 / 32472
GCD(99, 328) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 245
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 245) = 245
GCD(1, 245) = ( 1 x 245 ) / 245
GCD(1, 245) = 245 / 245
GCD(1, 245) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 316
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 316) = 316
GCD(1, 316) = ( 1 x 316 ) / 316
GCD(1, 316) = 316 / 316
GCD(1, 316) = 1
GCD of 99, 328, 245, 316 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 99, 328, 245, 316?
GCD of 99, 328, 245, 316 is 1
2. Where do I get the detailed procedure to find GCD of 99, 328, 245, 316?
You can find a detailed procedure to find GCD of 99, 328, 245, 316 on our page.
3. How to find GCD of 99, 328, 245, 316 on a calculator?
You can find the GCD of 99, 328, 245, 316 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.