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 855, 115, 407, 266 i.e. 1 largest integer that divides all the numbers equally.
GCD of 855, 115, 407, 266 is 1
GCD(855, 115, 407, 266) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 855, 115, 407, 266 is 1
GCD(855, 115, 407, 266) = 1
Given Input numbers are 855, 115, 407, 266
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 855
List of positive integer divisors of 855 that divides 855 without a remainder.
1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
Divisors of 115
List of positive integer divisors of 115 that divides 115 without a remainder.
1, 5, 23, 115
Divisors of 407
List of positive integer divisors of 407 that divides 407 without a remainder.
1, 11, 37, 407
Divisors of 266
List of positive integer divisors of 266 that divides 266 without a remainder.
1, 2, 7, 14, 19, 38, 133, 266
Greatest Common Divisior
We found the divisors of 855, 115, 407, 266 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 855, 115, 407, 266 is 1.
Therefore, GCD of numbers 855, 115, 407, 266 is 1
Given Input Data is 855, 115, 407, 266
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 855 is 3 x 3 x 5 x 19
Prime Factorization of 115 is 5 x 23
Prime Factorization of 407 is 11 x 37
Prime Factorization of 266 is 2 x 7 x 19
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(855, 115) = 19665
GCD(855, 115) = ( 855 x 115 ) / 19665
GCD(855, 115) = 98325 / 19665
GCD(855, 115) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 407
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 407) = 2035
GCD(5, 407) = ( 5 x 407 ) / 2035
GCD(5, 407) = 2035 / 2035
GCD(5, 407) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 266
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 266) = 266
GCD(1, 266) = ( 1 x 266 ) / 266
GCD(1, 266) = 266 / 266
GCD(1, 266) = 1
GCD of 855, 115, 407, 266 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 855, 115, 407, 266?
GCD of 855, 115, 407, 266 is 1
2. Where do I get the detailed procedure to find GCD of 855, 115, 407, 266?
You can find a detailed procedure to find GCD of 855, 115, 407, 266 on our page.
3. How to find GCD of 855, 115, 407, 266 on a calculator?
You can find the GCD of 855, 115, 407, 266 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.