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, 779, 172, 215 i.e. 1 largest integer that divides all the numbers equally.
GCD of 804, 779, 172, 215 is 1
GCD(804, 779, 172, 215) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 804, 779, 172, 215 is 1
GCD(804, 779, 172, 215) = 1
Given Input numbers are 804, 779, 172, 215
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 779
List of positive integer divisors of 779 that divides 779 without a remainder.
1, 19, 41, 779
Divisors of 172
List of positive integer divisors of 172 that divides 172 without a remainder.
1, 2, 4, 43, 86, 172
Divisors of 215
List of positive integer divisors of 215 that divides 215 without a remainder.
1, 5, 43, 215
Greatest Common Divisior
We found the divisors of 804, 779, 172, 215 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 804, 779, 172, 215 is 1.
Therefore, GCD of numbers 804, 779, 172, 215 is 1
Given Input Data is 804, 779, 172, 215
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 779 is 19 x 41
Prime Factorization of 172 is 2 x 2 x 43
Prime Factorization of 215 is 5 x 43
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, 779) = 626316
GCD(804, 779) = ( 804 x 779 ) / 626316
GCD(804, 779) = 626316 / 626316
GCD(804, 779) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 172
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 172) = 172
GCD(1, 172) = ( 1 x 172 ) / 172
GCD(1, 172) = 172 / 172
GCD(1, 172) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 215
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 215) = 215
GCD(1, 215) = ( 1 x 215 ) / 215
GCD(1, 215) = 215 / 215
GCD(1, 215) = 1
GCD of 804, 779, 172, 215 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 804, 779, 172, 215?
GCD of 804, 779, 172, 215 is 1
2. Where do I get the detailed procedure to find GCD of 804, 779, 172, 215?
You can find a detailed procedure to find GCD of 804, 779, 172, 215 on our page.
3. How to find GCD of 804, 779, 172, 215 on a calculator?
You can find the GCD of 804, 779, 172, 215 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.