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 982, 789, 16, 476 i.e. 1 largest integer that divides all the numbers equally.
GCD of 982, 789, 16, 476 is 1
GCD(982, 789, 16, 476) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 982, 789, 16, 476 is 1
GCD(982, 789, 16, 476) = 1
Given Input numbers are 982, 789, 16, 476
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 982
List of positive integer divisors of 982 that divides 982 without a remainder.
1, 2, 491, 982
Divisors of 789
List of positive integer divisors of 789 that divides 789 without a remainder.
1, 3, 263, 789
Divisors of 16
List of positive integer divisors of 16 that divides 16 without a remainder.
1, 2, 4, 8, 16
Divisors of 476
List of positive integer divisors of 476 that divides 476 without a remainder.
1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
Greatest Common Divisior
We found the divisors of 982, 789, 16, 476 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 982, 789, 16, 476 is 1.
Therefore, GCD of numbers 982, 789, 16, 476 is 1
Given Input Data is 982, 789, 16, 476
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 982 is 2 x 491
Prime Factorization of 789 is 3 x 263
Prime Factorization of 16 is 2 x 2 x 2 x 2
Prime Factorization of 476 is 2 x 2 x 7 x 17
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(982, 789) = 774798
GCD(982, 789) = ( 982 x 789 ) / 774798
GCD(982, 789) = 774798 / 774798
GCD(982, 789) = 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 476
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 476) = 476
GCD(1, 476) = ( 1 x 476 ) / 476
GCD(1, 476) = 476 / 476
GCD(1, 476) = 1
GCD of 982, 789, 16, 476 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 982, 789, 16, 476?
GCD of 982, 789, 16, 476 is 1
2. Where do I get the detailed procedure to find GCD of 982, 789, 16, 476?
You can find a detailed procedure to find GCD of 982, 789, 16, 476 on our page.
3. How to find GCD of 982, 789, 16, 476 on a calculator?
You can find the GCD of 982, 789, 16, 476 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.