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 168, 107, 815, 364 i.e. 1 largest integer that divides all the numbers equally.
GCD of 168, 107, 815, 364 is 1
GCD(168, 107, 815, 364) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 168, 107, 815, 364 is 1
GCD(168, 107, 815, 364) = 1
Given Input numbers are 168, 107, 815, 364
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 168
List of positive integer divisors of 168 that divides 168 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Divisors of 107
List of positive integer divisors of 107 that divides 107 without a remainder.
1, 107
Divisors of 815
List of positive integer divisors of 815 that divides 815 without a remainder.
1, 5, 163, 815
Divisors of 364
List of positive integer divisors of 364 that divides 364 without a remainder.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Greatest Common Divisior
We found the divisors of 168, 107, 815, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 168, 107, 815, 364 is 1.
Therefore, GCD of numbers 168, 107, 815, 364 is 1
Given Input Data is 168, 107, 815, 364
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7
Prime Factorization of 107 is 107
Prime Factorization of 815 is 5 x 163
Prime Factorization of 364 is 2 x 2 x 7 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(168, 107) = 17976
GCD(168, 107) = ( 168 x 107 ) / 17976
GCD(168, 107) = 17976 / 17976
GCD(168, 107) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 815
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 815) = 815
GCD(1, 815) = ( 1 x 815 ) / 815
GCD(1, 815) = 815 / 815
GCD(1, 815) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 364
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 364) = 364
GCD(1, 364) = ( 1 x 364 ) / 364
GCD(1, 364) = 364 / 364
GCD(1, 364) = 1
GCD of 168, 107, 815, 364 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 168, 107, 815, 364?
GCD of 168, 107, 815, 364 is 1
2. Where do I get the detailed procedure to find GCD of 168, 107, 815, 364?
You can find a detailed procedure to find GCD of 168, 107, 815, 364 on our page.
3. How to find GCD of 168, 107, 815, 364 on a calculator?
You can find the GCD of 168, 107, 815, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.