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, 939, 960, 848 i.e. 1 largest integer that divides all the numbers equally.
GCD of 855, 939, 960, 848 is 1
GCD(855, 939, 960, 848) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 855, 939, 960, 848 is 1
GCD(855, 939, 960, 848) = 1
Given Input numbers are 855, 939, 960, 848
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 939
List of positive integer divisors of 939 that divides 939 without a remainder.
1, 3, 313, 939
Divisors of 960
List of positive integer divisors of 960 that divides 960 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
Divisors of 848
List of positive integer divisors of 848 that divides 848 without a remainder.
1, 2, 4, 8, 16, 53, 106, 212, 424, 848
Greatest Common Divisior
We found the divisors of 855, 939, 960, 848 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 855, 939, 960, 848 is 1.
Therefore, GCD of numbers 855, 939, 960, 848 is 1
Given Input Data is 855, 939, 960, 848
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 939 is 3 x 313
Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 848 is 2 x 2 x 2 x 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(855, 939) = 267615
GCD(855, 939) = ( 855 x 939 ) / 267615
GCD(855, 939) = 802845 / 267615
GCD(855, 939) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 960
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 960) = 960
GCD(3, 960) = ( 3 x 960 ) / 960
GCD(3, 960) = 2880 / 960
GCD(3, 960) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 848
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 848) = 2544
GCD(3, 848) = ( 3 x 848 ) / 2544
GCD(3, 848) = 2544 / 2544
GCD(3, 848) = 1
GCD of 855, 939, 960, 848 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 855, 939, 960, 848?
GCD of 855, 939, 960, 848 is 1
2. Where do I get the detailed procedure to find GCD of 855, 939, 960, 848?
You can find a detailed procedure to find GCD of 855, 939, 960, 848 on our page.
3. How to find GCD of 855, 939, 960, 848 on a calculator?
You can find the GCD of 855, 939, 960, 848 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.