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 854, 473, 16, 849 i.e. 1 largest integer that divides all the numbers equally.
GCD of 854, 473, 16, 849 is 1
GCD(854, 473, 16, 849) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 854, 473, 16, 849 is 1
GCD(854, 473, 16, 849) = 1
Given Input numbers are 854, 473, 16, 849
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 854
List of positive integer divisors of 854 that divides 854 without a remainder.
1, 2, 7, 14, 61, 122, 427, 854
Divisors of 473
List of positive integer divisors of 473 that divides 473 without a remainder.
1, 11, 43, 473
Divisors of 16
List of positive integer divisors of 16 that divides 16 without a remainder.
1, 2, 4, 8, 16
Divisors of 849
List of positive integer divisors of 849 that divides 849 without a remainder.
1, 3, 283, 849
Greatest Common Divisior
We found the divisors of 854, 473, 16, 849 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 854, 473, 16, 849 is 1.
Therefore, GCD of numbers 854, 473, 16, 849 is 1
Given Input Data is 854, 473, 16, 849
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 854 is 2 x 7 x 61
Prime Factorization of 473 is 11 x 43
Prime Factorization of 16 is 2 x 2 x 2 x 2
Prime Factorization of 849 is 3 x 283
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(854, 473) = 403942
GCD(854, 473) = ( 854 x 473 ) / 403942
GCD(854, 473) = 403942 / 403942
GCD(854, 473) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 16
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 16) = 16
GCD(1, 16) = ( 1 x 16 ) / 16
GCD(1, 16) = 16 / 16
GCD(1, 16) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 849
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 849) = 849
GCD(1, 849) = ( 1 x 849 ) / 849
GCD(1, 849) = 849 / 849
GCD(1, 849) = 1
GCD of 854, 473, 16, 849 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 854, 473, 16, 849?
GCD of 854, 473, 16, 849 is 1
2. Where do I get the detailed procedure to find GCD of 854, 473, 16, 849?
You can find a detailed procedure to find GCD of 854, 473, 16, 849 on our page.
3. How to find GCD of 854, 473, 16, 849 on a calculator?
You can find the GCD of 854, 473, 16, 849 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.