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 819, 975, 16, 860 i.e. 1 largest integer that divides all the numbers equally.
GCD of 819, 975, 16, 860 is 1
GCD(819, 975, 16, 860) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 819, 975, 16, 860 is 1
GCD(819, 975, 16, 860) = 1
Given Input numbers are 819, 975, 16, 860
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 819
List of positive integer divisors of 819 that divides 819 without a remainder.
1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
Divisors of 975
List of positive integer divisors of 975 that divides 975 without a remainder.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
Divisors of 16
List of positive integer divisors of 16 that divides 16 without a remainder.
1, 2, 4, 8, 16
Divisors of 860
List of positive integer divisors of 860 that divides 860 without a remainder.
1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
Greatest Common Divisior
We found the divisors of 819, 975, 16, 860 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 819, 975, 16, 860 is 1.
Therefore, GCD of numbers 819, 975, 16, 860 is 1
Given Input Data is 819, 975, 16, 860
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 819 is 3 x 3 x 7 x 13
Prime Factorization of 975 is 3 x 5 x 5 x 13
Prime Factorization of 16 is 2 x 2 x 2 x 2
Prime Factorization of 860 is 2 x 2 x 5 x 43
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(819, 975) = 20475
GCD(819, 975) = ( 819 x 975 ) / 20475
GCD(819, 975) = 798525 / 20475
GCD(819, 975) = 39
Step2:
Here we consider the GCD from the above i.e. 39 as first number and the next as 16
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(39, 16) = 624
GCD(39, 16) = ( 39 x 16 ) / 624
GCD(39, 16) = 624 / 624
GCD(39, 16) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 860
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 860) = 860
GCD(1, 860) = ( 1 x 860 ) / 860
GCD(1, 860) = 860 / 860
GCD(1, 860) = 1
GCD of 819, 975, 16, 860 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 819, 975, 16, 860?
GCD of 819, 975, 16, 860 is 1
2. Where do I get the detailed procedure to find GCD of 819, 975, 16, 860?
You can find a detailed procedure to find GCD of 819, 975, 16, 860 on our page.
3. How to find GCD of 819, 975, 16, 860 on a calculator?
You can find the GCD of 819, 975, 16, 860 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.