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 476, 798, 804, 836 i.e. 2 largest integer that divides all the numbers equally.
GCD of 476, 798, 804, 836 is 2
GCD(476, 798, 804, 836) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 476, 798, 804, 836 is 2
GCD(476, 798, 804, 836) = 2
Given Input numbers are 476, 798, 804, 836
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 798
List of positive integer divisors of 798 that divides 798 without a remainder.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
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 836
List of positive integer divisors of 836 that divides 836 without a remainder.
1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
Greatest Common Divisior
We found the divisors of 476, 798, 804, 836 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 476, 798, 804, 836 is 2.
Therefore, GCD of numbers 476, 798, 804, 836 is 2
Given Input Data is 476, 798, 804, 836
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 476 is 2 x 2 x 7 x 17
Prime Factorization of 798 is 2 x 3 x 7 x 19
Prime Factorization of 804 is 2 x 2 x 3 x 67
Prime Factorization of 836 is 2 x 2 x 11 x 19
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(476, 798) = 27132
GCD(476, 798) = ( 476 x 798 ) / 27132
GCD(476, 798) = 379848 / 27132
GCD(476, 798) = 14
Step2:
Here we consider the GCD from the above i.e. 14 as first number and the next as 804
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(14, 804) = 5628
GCD(14, 804) = ( 14 x 804 ) / 5628
GCD(14, 804) = 11256 / 5628
GCD(14, 804) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 836
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 836) = 836
GCD(2, 836) = ( 2 x 836 ) / 836
GCD(2, 836) = 1672 / 836
GCD(2, 836) = 2
GCD of 476, 798, 804, 836 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 476, 798, 804, 836?
GCD of 476, 798, 804, 836 is 2
2. Where do I get the detailed procedure to find GCD of 476, 798, 804, 836?
You can find a detailed procedure to find GCD of 476, 798, 804, 836 on our page.
3. How to find GCD of 476, 798, 804, 836 on a calculator?
You can find the GCD of 476, 798, 804, 836 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.