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, 711, 39, 160 i.e. 1 largest integer that divides all the numbers equally.
GCD of 404, 711, 39, 160 is 1
GCD(404, 711, 39, 160) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 404, 711, 39, 160 is 1
GCD(404, 711, 39, 160) = 1
Given Input numbers are 404, 711, 39, 160
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 711
List of positive integer divisors of 711 that divides 711 without a remainder.
1, 3, 9, 79, 237, 711
Divisors of 39
List of positive integer divisors of 39 that divides 39 without a remainder.
1, 3, 13, 39
Divisors of 160
List of positive integer divisors of 160 that divides 160 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
Greatest Common Divisior
We found the divisors of 404, 711, 39, 160 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 404, 711, 39, 160 is 1.
Therefore, GCD of numbers 404, 711, 39, 160 is 1
Given Input Data is 404, 711, 39, 160
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 711 is 3 x 3 x 79
Prime Factorization of 39 is 3 x 13
Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5
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, 711) = 287244
GCD(404, 711) = ( 404 x 711 ) / 287244
GCD(404, 711) = 287244 / 287244
GCD(404, 711) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 39
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 39) = 39
GCD(1, 39) = ( 1 x 39 ) / 39
GCD(1, 39) = 39 / 39
GCD(1, 39) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 160
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 160) = 160
GCD(1, 160) = ( 1 x 160 ) / 160
GCD(1, 160) = 160 / 160
GCD(1, 160) = 1
GCD of 404, 711, 39, 160 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 404, 711, 39, 160?
GCD of 404, 711, 39, 160 is 1
2. Where do I get the detailed procedure to find GCD of 404, 711, 39, 160?
You can find a detailed procedure to find GCD of 404, 711, 39, 160 on our page.
3. How to find GCD of 404, 711, 39, 160 on a calculator?
You can find the GCD of 404, 711, 39, 160 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.