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, 960, 40, 173 i.e. 1 largest integer that divides all the numbers equally.
GCD of 471, 960, 40, 173 is 1
GCD(471, 960, 40, 173) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 471, 960, 40, 173 is 1
GCD(471, 960, 40, 173) = 1
Given Input numbers are 471, 960, 40, 173
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 960
List of positive integer divisors of 960 that divides 960 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
Divisors of 40
List of positive integer divisors of 40 that divides 40 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40
Divisors of 173
List of positive integer divisors of 173 that divides 173 without a remainder.
1, 173
Greatest Common Divisior
We found the divisors of 471, 960, 40, 173 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 471, 960, 40, 173 is 1.
Therefore, GCD of numbers 471, 960, 40, 173 is 1
Given Input Data is 471, 960, 40, 173
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 471 is 3 x 157
Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 40 is 2 x 2 x 2 x 5
Prime Factorization of 173 is 173
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, 960) = 150720
GCD(471, 960) = ( 471 x 960 ) / 150720
GCD(471, 960) = 452160 / 150720
GCD(471, 960) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 40
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 40) = 120
GCD(3, 40) = ( 3 x 40 ) / 120
GCD(3, 40) = 120 / 120
GCD(3, 40) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 173
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 173) = 173
GCD(1, 173) = ( 1 x 173 ) / 173
GCD(1, 173) = 173 / 173
GCD(1, 173) = 1
GCD of 471, 960, 40, 173 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 471, 960, 40, 173?
GCD of 471, 960, 40, 173 is 1
2. Where do I get the detailed procedure to find GCD of 471, 960, 40, 173?
You can find a detailed procedure to find GCD of 471, 960, 40, 173 on our page.
3. How to find GCD of 471, 960, 40, 173 on a calculator?
You can find the GCD of 471, 960, 40, 173 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.