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 16, 925, 852, 855 i.e. 1 largest integer that divides all the numbers equally.
GCD of 16, 925, 852, 855 is 1
GCD(16, 925, 852, 855) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 16, 925, 852, 855 is 1
GCD(16, 925, 852, 855) = 1
Given Input numbers are 16, 925, 852, 855
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 16
List of positive integer divisors of 16 that divides 16 without a remainder.
1, 2, 4, 8, 16
Divisors of 925
List of positive integer divisors of 925 that divides 925 without a remainder.
1, 5, 25, 37, 185, 925
Divisors of 852
List of positive integer divisors of 852 that divides 852 without a remainder.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
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
Greatest Common Divisior
We found the divisors of 16, 925, 852, 855 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 925, 852, 855 is 1.
Therefore, GCD of numbers 16, 925, 852, 855 is 1
Given Input Data is 16, 925, 852, 855
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 16 is 2 x 2 x 2 x 2
Prime Factorization of 925 is 5 x 5 x 37
Prime Factorization of 852 is 2 x 2 x 3 x 71
Prime Factorization of 855 is 3 x 3 x 5 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(16, 925) = 14800
GCD(16, 925) = ( 16 x 925 ) / 14800
GCD(16, 925) = 14800 / 14800
GCD(16, 925) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 852
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 852) = 852
GCD(1, 852) = ( 1 x 852 ) / 852
GCD(1, 852) = 852 / 852
GCD(1, 852) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 855
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 855) = 855
GCD(1, 855) = ( 1 x 855 ) / 855
GCD(1, 855) = 855 / 855
GCD(1, 855) = 1
GCD of 16, 925, 852, 855 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 16, 925, 852, 855?
GCD of 16, 925, 852, 855 is 1
2. Where do I get the detailed procedure to find GCD of 16, 925, 852, 855?
You can find a detailed procedure to find GCD of 16, 925, 852, 855 on our page.
3. How to find GCD of 16, 925, 852, 855 on a calculator?
You can find the GCD of 16, 925, 852, 855 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.