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, 478, 50, 331 i.e. 1 largest integer that divides all the numbers equally.
GCD of 804, 478, 50, 331 is 1
GCD(804, 478, 50, 331) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 804, 478, 50, 331 is 1
GCD(804, 478, 50, 331) = 1
Given Input numbers are 804, 478, 50, 331
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 478
List of positive integer divisors of 478 that divides 478 without a remainder.
1, 2, 239, 478
Divisors of 50
List of positive integer divisors of 50 that divides 50 without a remainder.
1, 2, 5, 10, 25, 50
Divisors of 331
List of positive integer divisors of 331 that divides 331 without a remainder.
1, 331
Greatest Common Divisior
We found the divisors of 804, 478, 50, 331 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 804, 478, 50, 331 is 1.
Therefore, GCD of numbers 804, 478, 50, 331 is 1
Given Input Data is 804, 478, 50, 331
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 478 is 2 x 239
Prime Factorization of 50 is 2 x 5 x 5
Prime Factorization of 331 is 331
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, 478) = 192156
GCD(804, 478) = ( 804 x 478 ) / 192156
GCD(804, 478) = 384312 / 192156
GCD(804, 478) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 50
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 50) = 50
GCD(2, 50) = ( 2 x 50 ) / 50
GCD(2, 50) = 100 / 50
GCD(2, 50) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 331
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 331) = 662
GCD(2, 331) = ( 2 x 331 ) / 662
GCD(2, 331) = 662 / 662
GCD(2, 331) = 1
GCD of 804, 478, 50, 331 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 804, 478, 50, 331?
GCD of 804, 478, 50, 331 is 1
2. Where do I get the detailed procedure to find GCD of 804, 478, 50, 331?
You can find a detailed procedure to find GCD of 804, 478, 50, 331 on our page.
3. How to find GCD of 804, 478, 50, 331 on a calculator?
You can find the GCD of 804, 478, 50, 331 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.