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, 515, 24, 153 i.e. 1 largest integer that divides all the numbers equally.
GCD of 855, 515, 24, 153 is 1
GCD(855, 515, 24, 153) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 855, 515, 24, 153 is 1
GCD(855, 515, 24, 153) = 1
Given Input numbers are 855, 515, 24, 153
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 515
List of positive integer divisors of 515 that divides 515 without a remainder.
1, 5, 103, 515
Divisors of 24
List of positive integer divisors of 24 that divides 24 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24
Divisors of 153
List of positive integer divisors of 153 that divides 153 without a remainder.
1, 3, 9, 17, 51, 153
Greatest Common Divisior
We found the divisors of 855, 515, 24, 153 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 855, 515, 24, 153 is 1.
Therefore, GCD of numbers 855, 515, 24, 153 is 1
Given Input Data is 855, 515, 24, 153
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 515 is 5 x 103
Prime Factorization of 24 is 2 x 2 x 2 x 3
Prime Factorization of 153 is 3 x 3 x 17
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, 515) = 88065
GCD(855, 515) = ( 855 x 515 ) / 88065
GCD(855, 515) = 440325 / 88065
GCD(855, 515) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 24
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 24) = 120
GCD(5, 24) = ( 5 x 24 ) / 120
GCD(5, 24) = 120 / 120
GCD(5, 24) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 153
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 153) = 153
GCD(1, 153) = ( 1 x 153 ) / 153
GCD(1, 153) = 153 / 153
GCD(1, 153) = 1
GCD of 855, 515, 24, 153 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 855, 515, 24, 153?
GCD of 855, 515, 24, 153 is 1
2. Where do I get the detailed procedure to find GCD of 855, 515, 24, 153?
You can find a detailed procedure to find GCD of 855, 515, 24, 153 on our page.
3. How to find GCD of 855, 515, 24, 153 on a calculator?
You can find the GCD of 855, 515, 24, 153 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.