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 471, 404, 448, 445 i.e. 1 largest integer that divides all the numbers equally.
GCD of 471, 404, 448, 445 is 1
GCD(471, 404, 448, 445) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 471, 404, 448, 445 is 1
GCD(471, 404, 448, 445) = 1
Given Input numbers are 471, 404, 448, 445
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 471
List of positive integer divisors of 471 that divides 471 without a remainder.
1, 3, 157, 471
Divisors of 404
List of positive integer divisors of 404 that divides 404 without a remainder.
1, 2, 4, 101, 202, 404
Divisors of 448
List of positive integer divisors of 448 that divides 448 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
Divisors of 445
List of positive integer divisors of 445 that divides 445 without a remainder.
1, 5, 89, 445
Greatest Common Divisior
We found the divisors of 471, 404, 448, 445 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 471, 404, 448, 445 is 1.
Therefore, GCD of numbers 471, 404, 448, 445 is 1
Given Input Data is 471, 404, 448, 445
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 471 is 3 x 157
Prime Factorization of 404 is 2 x 2 x 101
Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 445 is 5 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(471, 404) = 190284
GCD(471, 404) = ( 471 x 404 ) / 190284
GCD(471, 404) = 190284 / 190284
GCD(471, 404) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 448
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 448) = 448
GCD(1, 448) = ( 1 x 448 ) / 448
GCD(1, 448) = 448 / 448
GCD(1, 448) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 445
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 445) = 445
GCD(1, 445) = ( 1 x 445 ) / 445
GCD(1, 445) = 445 / 445
GCD(1, 445) = 1
GCD of 471, 404, 448, 445 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 471, 404, 448, 445?
GCD of 471, 404, 448, 445 is 1
2. Where do I get the detailed procedure to find GCD of 471, 404, 448, 445?
You can find a detailed procedure to find GCD of 471, 404, 448, 445 on our page.
3. How to find GCD of 471, 404, 448, 445 on a calculator?
You can find the GCD of 471, 404, 448, 445 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.