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 804, 733, 16, 977 i.e. 1 largest integer that divides all the numbers equally.
GCD of 804, 733, 16, 977 is 1
GCD(804, 733, 16, 977) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 804, 733, 16, 977 is 1
GCD(804, 733, 16, 977) = 1
Given Input numbers are 804, 733, 16, 977
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 804
List of positive integer divisors of 804 that divides 804 without a remainder.
1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
Divisors of 733
List of positive integer divisors of 733 that divides 733 without a remainder.
1, 733
Divisors of 16
List of positive integer divisors of 16 that divides 16 without a remainder.
1, 2, 4, 8, 16
Divisors of 977
List of positive integer divisors of 977 that divides 977 without a remainder.
1, 977
Greatest Common Divisior
We found the divisors of 804, 733, 16, 977 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 804, 733, 16, 977 is 1.
Therefore, GCD of numbers 804, 733, 16, 977 is 1
Given Input Data is 804, 733, 16, 977
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 804 is 2 x 2 x 3 x 67
Prime Factorization of 733 is 733
Prime Factorization of 16 is 2 x 2 x 2 x 2
Prime Factorization of 977 is 977
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(804, 733) = 589332
GCD(804, 733) = ( 804 x 733 ) / 589332
GCD(804, 733) = 589332 / 589332
GCD(804, 733) = 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 977
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 977) = 977
GCD(1, 977) = ( 1 x 977 ) / 977
GCD(1, 977) = 977 / 977
GCD(1, 977) = 1
GCD of 804, 733, 16, 977 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 804, 733, 16, 977?
GCD of 804, 733, 16, 977 is 1
2. Where do I get the detailed procedure to find GCD of 804, 733, 16, 977?
You can find a detailed procedure to find GCD of 804, 733, 16, 977 on our page.
3. How to find GCD of 804, 733, 16, 977 on a calculator?
You can find the GCD of 804, 733, 16, 977 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.