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, 144, 90, 871 i.e. 1 largest integer that divides all the numbers equally.
GCD of 471, 144, 90, 871 is 1
GCD(471, 144, 90, 871) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 471, 144, 90, 871 is 1
GCD(471, 144, 90, 871) = 1
Given Input numbers are 471, 144, 90, 871
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 144
List of positive integer divisors of 144 that divides 144 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 90
List of positive integer divisors of 90 that divides 90 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Divisors of 871
List of positive integer divisors of 871 that divides 871 without a remainder.
1, 13, 67, 871
Greatest Common Divisior
We found the divisors of 471, 144, 90, 871 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 471, 144, 90, 871 is 1.
Therefore, GCD of numbers 471, 144, 90, 871 is 1
Given Input Data is 471, 144, 90, 871
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 471 is 3 x 157
Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 90 is 2 x 3 x 3 x 5
Prime Factorization of 871 is 13 x 67
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, 144) = 22608
GCD(471, 144) = ( 471 x 144 ) / 22608
GCD(471, 144) = 67824 / 22608
GCD(471, 144) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 90
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 90) = 90
GCD(3, 90) = ( 3 x 90 ) / 90
GCD(3, 90) = 270 / 90
GCD(3, 90) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 871
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 871) = 2613
GCD(3, 871) = ( 3 x 871 ) / 2613
GCD(3, 871) = 2613 / 2613
GCD(3, 871) = 1
GCD of 471, 144, 90, 871 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 471, 144, 90, 871?
GCD of 471, 144, 90, 871 is 1
2. Where do I get the detailed procedure to find GCD of 471, 144, 90, 871?
You can find a detailed procedure to find GCD of 471, 144, 90, 871 on our page.
3. How to find GCD of 471, 144, 90, 871 on a calculator?
You can find the GCD of 471, 144, 90, 871 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.