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 404, 851, 17, 356 i.e. 1 largest integer that divides all the numbers equally.
GCD of 404, 851, 17, 356 is 1
GCD(404, 851, 17, 356) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 404, 851, 17, 356 is 1
GCD(404, 851, 17, 356) = 1
Given Input numbers are 404, 851, 17, 356
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 404
List of positive integer divisors of 404 that divides 404 without a remainder.
1, 2, 4, 101, 202, 404
Divisors of 851
List of positive integer divisors of 851 that divides 851 without a remainder.
1, 23, 37, 851
Divisors of 17
List of positive integer divisors of 17 that divides 17 without a remainder.
1, 17
Divisors of 356
List of positive integer divisors of 356 that divides 356 without a remainder.
1, 2, 4, 89, 178, 356
Greatest Common Divisior
We found the divisors of 404, 851, 17, 356 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 404, 851, 17, 356 is 1.
Therefore, GCD of numbers 404, 851, 17, 356 is 1
Given Input Data is 404, 851, 17, 356
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 404 is 2 x 2 x 101
Prime Factorization of 851 is 23 x 37
Prime Factorization of 17 is 17
Prime Factorization of 356 is 2 x 2 x 89
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(404, 851) = 343804
GCD(404, 851) = ( 404 x 851 ) / 343804
GCD(404, 851) = 343804 / 343804
GCD(404, 851) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 17
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 17) = 17
GCD(1, 17) = ( 1 x 17 ) / 17
GCD(1, 17) = 17 / 17
GCD(1, 17) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 356
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 356) = 356
GCD(1, 356) = ( 1 x 356 ) / 356
GCD(1, 356) = 356 / 356
GCD(1, 356) = 1
GCD of 404, 851, 17, 356 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 404, 851, 17, 356?
GCD of 404, 851, 17, 356 is 1
2. Where do I get the detailed procedure to find GCD of 404, 851, 17, 356?
You can find a detailed procedure to find GCD of 404, 851, 17, 356 on our page.
3. How to find GCD of 404, 851, 17, 356 on a calculator?
You can find the GCD of 404, 851, 17, 356 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.