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 845, 328, 12, 106 i.e. 1 largest integer that divides all the numbers equally.
GCD of 845, 328, 12, 106 is 1
GCD(845, 328, 12, 106) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 845, 328, 12, 106 is 1
GCD(845, 328, 12, 106) = 1
Given Input numbers are 845, 328, 12, 106
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 845
List of positive integer divisors of 845 that divides 845 without a remainder.
1, 5, 13, 65, 169, 845
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 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Divisors of 106
List of positive integer divisors of 106 that divides 106 without a remainder.
1, 2, 53, 106
Greatest Common Divisior
We found the divisors of 845, 328, 12, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 845, 328, 12, 106 is 1.
Therefore, GCD of numbers 845, 328, 12, 106 is 1
Given Input Data is 845, 328, 12, 106
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 845 is 5 x 13 x 13
Prime Factorization of 328 is 2 x 2 x 2 x 41
Prime Factorization of 12 is 2 x 2 x 3
Prime Factorization of 106 is 2 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(845, 328) = 277160
GCD(845, 328) = ( 845 x 328 ) / 277160
GCD(845, 328) = 277160 / 277160
GCD(845, 328) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 12
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 12) = 12
GCD(1, 12) = ( 1 x 12 ) / 12
GCD(1, 12) = 12 / 12
GCD(1, 12) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 106
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 106) = 106
GCD(1, 106) = ( 1 x 106 ) / 106
GCD(1, 106) = 106 / 106
GCD(1, 106) = 1
GCD of 845, 328, 12, 106 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 845, 328, 12, 106?
GCD of 845, 328, 12, 106 is 1
2. Where do I get the detailed procedure to find GCD of 845, 328, 12, 106?
You can find a detailed procedure to find GCD of 845, 328, 12, 106 on our page.
3. How to find GCD of 845, 328, 12, 106 on a calculator?
You can find the GCD of 845, 328, 12, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.