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, 502, 17, 278 i.e. 1 largest integer that divides all the numbers equally.
GCD of 855, 502, 17, 278 is 1
GCD(855, 502, 17, 278) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 855, 502, 17, 278 is 1
GCD(855, 502, 17, 278) = 1
Given Input numbers are 855, 502, 17, 278
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 502
List of positive integer divisors of 502 that divides 502 without a remainder.
1, 2, 251, 502
Divisors of 17
List of positive integer divisors of 17 that divides 17 without a remainder.
1, 17
Divisors of 278
List of positive integer divisors of 278 that divides 278 without a remainder.
1, 2, 139, 278
Greatest Common Divisior
We found the divisors of 855, 502, 17, 278 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 855, 502, 17, 278 is 1.
Therefore, GCD of numbers 855, 502, 17, 278 is 1
Given Input Data is 855, 502, 17, 278
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 502 is 2 x 251
Prime Factorization of 17 is 17
Prime Factorization of 278 is 2 x 139
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, 502) = 429210
GCD(855, 502) = ( 855 x 502 ) / 429210
GCD(855, 502) = 429210 / 429210
GCD(855, 502) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 17
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 17) = 17
GCD(1, 17) = ( 1 x 17 ) / 17
GCD(1, 17) = 17 / 17
GCD(1, 17) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 278
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 278) = 278
GCD(1, 278) = ( 1 x 278 ) / 278
GCD(1, 278) = 278 / 278
GCD(1, 278) = 1
GCD of 855, 502, 17, 278 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 855, 502, 17, 278?
GCD of 855, 502, 17, 278 is 1
2. Where do I get the detailed procedure to find GCD of 855, 502, 17, 278?
You can find a detailed procedure to find GCD of 855, 502, 17, 278 on our page.
3. How to find GCD of 855, 502, 17, 278 on a calculator?
You can find the GCD of 855, 502, 17, 278 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.