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, 656, 47, 298 i.e. 1 largest integer that divides all the numbers equally.
GCD of 804, 656, 47, 298 is 1
GCD(804, 656, 47, 298) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 804, 656, 47, 298 is 1
GCD(804, 656, 47, 298) = 1
Given Input numbers are 804, 656, 47, 298
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 656
List of positive integer divisors of 656 that divides 656 without a remainder.
1, 2, 4, 8, 16, 41, 82, 164, 328, 656
Divisors of 47
List of positive integer divisors of 47 that divides 47 without a remainder.
1, 47
Divisors of 298
List of positive integer divisors of 298 that divides 298 without a remainder.
1, 2, 149, 298
Greatest Common Divisior
We found the divisors of 804, 656, 47, 298 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 804, 656, 47, 298 is 1.
Therefore, GCD of numbers 804, 656, 47, 298 is 1
Given Input Data is 804, 656, 47, 298
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 656 is 2 x 2 x 2 x 2 x 41
Prime Factorization of 47 is 47
Prime Factorization of 298 is 2 x 149
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, 656) = 131856
GCD(804, 656) = ( 804 x 656 ) / 131856
GCD(804, 656) = 527424 / 131856
GCD(804, 656) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 47
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 47) = 188
GCD(4, 47) = ( 4 x 47 ) / 188
GCD(4, 47) = 188 / 188
GCD(4, 47) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 298
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 298) = 298
GCD(1, 298) = ( 1 x 298 ) / 298
GCD(1, 298) = 298 / 298
GCD(1, 298) = 1
GCD of 804, 656, 47, 298 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 804, 656, 47, 298?
GCD of 804, 656, 47, 298 is 1
2. Where do I get the detailed procedure to find GCD of 804, 656, 47, 298?
You can find a detailed procedure to find GCD of 804, 656, 47, 298 on our page.
3. How to find GCD of 804, 656, 47, 298 on a calculator?
You can find the GCD of 804, 656, 47, 298 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.