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 31, 880, 463, 404 i.e. 1 largest integer that divides all the numbers equally.
GCD of 31, 880, 463, 404 is 1
GCD(31, 880, 463, 404) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 31, 880, 463, 404 is 1
GCD(31, 880, 463, 404) = 1
Given Input numbers are 31, 880, 463, 404
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 31
List of positive integer divisors of 31 that divides 31 without a remainder.
1, 31
Divisors of 880
List of positive integer divisors of 880 that divides 880 without a remainder.
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
Divisors of 463
List of positive integer divisors of 463 that divides 463 without a remainder.
1, 463
Divisors of 404
List of positive integer divisors of 404 that divides 404 without a remainder.
1, 2, 4, 101, 202, 404
Greatest Common Divisior
We found the divisors of 31, 880, 463, 404 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 880, 463, 404 is 1.
Therefore, GCD of numbers 31, 880, 463, 404 is 1
Given Input Data is 31, 880, 463, 404
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 31 is 31
Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11
Prime Factorization of 463 is 463
Prime Factorization of 404 is 2 x 2 x 101
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(31, 880) = 27280
GCD(31, 880) = ( 31 x 880 ) / 27280
GCD(31, 880) = 27280 / 27280
GCD(31, 880) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 463
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 463) = 463
GCD(1, 463) = ( 1 x 463 ) / 463
GCD(1, 463) = 463 / 463
GCD(1, 463) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 404
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 404) = 404
GCD(1, 404) = ( 1 x 404 ) / 404
GCD(1, 404) = 404 / 404
GCD(1, 404) = 1
GCD of 31, 880, 463, 404 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 31, 880, 463, 404?
GCD of 31, 880, 463, 404 is 1
2. Where do I get the detailed procedure to find GCD of 31, 880, 463, 404?
You can find a detailed procedure to find GCD of 31, 880, 463, 404 on our page.
3. How to find GCD of 31, 880, 463, 404 on a calculator?
You can find the GCD of 31, 880, 463, 404 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.