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, 108, 16, 920 i.e. 4 largest integer that divides all the numbers equally.
GCD of 804, 108, 16, 920 is 4
GCD(804, 108, 16, 920) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 804, 108, 16, 920 is 4
GCD(804, 108, 16, 920) = 4
Given Input numbers are 804, 108, 16, 920
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 108
List of positive integer divisors of 108 that divides 108 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 16
List of positive integer divisors of 16 that divides 16 without a remainder.
1, 2, 4, 8, 16
Divisors of 920
List of positive integer divisors of 920 that divides 920 without a remainder.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Greatest Common Divisior
We found the divisors of 804, 108, 16, 920 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 804, 108, 16, 920 is 4.
Therefore, GCD of numbers 804, 108, 16, 920 is 4
Given Input Data is 804, 108, 16, 920
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 108 is 2 x 2 x 3 x 3 x 3
Prime Factorization of 16 is 2 x 2 x 2 x 2
Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23
Highest common occurrences in the given inputs are 22
Multiplying them we get the GCD as 4
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, 108) = 7236
GCD(804, 108) = ( 804 x 108 ) / 7236
GCD(804, 108) = 86832 / 7236
GCD(804, 108) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 16
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 16) = 48
GCD(12, 16) = ( 12 x 16 ) / 48
GCD(12, 16) = 192 / 48
GCD(12, 16) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 920
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 920) = 920
GCD(4, 920) = ( 4 x 920 ) / 920
GCD(4, 920) = 3680 / 920
GCD(4, 920) = 4
GCD of 804, 108, 16, 920 is 4
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 804, 108, 16, 920?
GCD of 804, 108, 16, 920 is 4
2. Where do I get the detailed procedure to find GCD of 804, 108, 16, 920?
You can find a detailed procedure to find GCD of 804, 108, 16, 920 on our page.
3. How to find GCD of 804, 108, 16, 920 on a calculator?
You can find the GCD of 804, 108, 16, 920 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.