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, 835, 384, 924 i.e. 1 largest integer that divides all the numbers equally.
GCD of 16, 835, 384, 924 is 1
GCD(16, 835, 384, 924) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 16, 835, 384, 924 is 1
GCD(16, 835, 384, 924) = 1
Given Input numbers are 16, 835, 384, 924
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 835
List of positive integer divisors of 835 that divides 835 without a remainder.
1, 5, 167, 835
Divisors of 384
List of positive integer divisors of 384 that divides 384 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Divisors of 924
List of positive integer divisors of 924 that divides 924 without a remainder.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
Greatest Common Divisior
We found the divisors of 16, 835, 384, 924 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 835, 384, 924 is 1.
Therefore, GCD of numbers 16, 835, 384, 924 is 1
Given Input Data is 16, 835, 384, 924
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 835 is 5 x 167
Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11
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, 835) = 13360
GCD(16, 835) = ( 16 x 835 ) / 13360
GCD(16, 835) = 13360 / 13360
GCD(16, 835) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 384
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 384) = 384
GCD(1, 384) = ( 1 x 384 ) / 384
GCD(1, 384) = 384 / 384
GCD(1, 384) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 924
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 924) = 924
GCD(1, 924) = ( 1 x 924 ) / 924
GCD(1, 924) = 924 / 924
GCD(1, 924) = 1
GCD of 16, 835, 384, 924 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 16, 835, 384, 924?
GCD of 16, 835, 384, 924 is 1
2. Where do I get the detailed procedure to find GCD of 16, 835, 384, 924?
You can find a detailed procedure to find GCD of 16, 835, 384, 924 on our page.
3. How to find GCD of 16, 835, 384, 924 on a calculator?
You can find the GCD of 16, 835, 384, 924 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.