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, 171, 41, 437 i.e. 1 largest integer that divides all the numbers equally.
GCD of 471, 171, 41, 437 is 1
GCD(471, 171, 41, 437) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 471, 171, 41, 437 is 1
GCD(471, 171, 41, 437) = 1
Given Input numbers are 471, 171, 41, 437
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 171
List of positive integer divisors of 171 that divides 171 without a remainder.
1, 3, 9, 19, 57, 171
Divisors of 41
List of positive integer divisors of 41 that divides 41 without a remainder.
1, 41
Divisors of 437
List of positive integer divisors of 437 that divides 437 without a remainder.
1, 19, 23, 437
Greatest Common Divisior
We found the divisors of 471, 171, 41, 437 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 471, 171, 41, 437 is 1.
Therefore, GCD of numbers 471, 171, 41, 437 is 1
Given Input Data is 471, 171, 41, 437
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 471 is 3 x 157
Prime Factorization of 171 is 3 x 3 x 19
Prime Factorization of 41 is 41
Prime Factorization of 437 is 19 x 23
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, 171) = 26847
GCD(471, 171) = ( 471 x 171 ) / 26847
GCD(471, 171) = 80541 / 26847
GCD(471, 171) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 41
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 41) = 123
GCD(3, 41) = ( 3 x 41 ) / 123
GCD(3, 41) = 123 / 123
GCD(3, 41) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 437
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 437) = 437
GCD(1, 437) = ( 1 x 437 ) / 437
GCD(1, 437) = 437 / 437
GCD(1, 437) = 1
GCD of 471, 171, 41, 437 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 471, 171, 41, 437?
GCD of 471, 171, 41, 437 is 1
2. Where do I get the detailed procedure to find GCD of 471, 171, 41, 437?
You can find a detailed procedure to find GCD of 471, 171, 41, 437 on our page.
3. How to find GCD of 471, 171, 41, 437 on a calculator?
You can find the GCD of 471, 171, 41, 437 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.