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 470, 161, 366, 871 i.e. 1 largest integer that divides all the numbers equally.
GCD of 470, 161, 366, 871 is 1
GCD(470, 161, 366, 871) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 470, 161, 366, 871 is 1
GCD(470, 161, 366, 871) = 1
Given Input numbers are 470, 161, 366, 871
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 470
List of positive integer divisors of 470 that divides 470 without a remainder.
1, 2, 5, 10, 47, 94, 235, 470
Divisors of 161
List of positive integer divisors of 161 that divides 161 without a remainder.
1, 7, 23, 161
Divisors of 366
List of positive integer divisors of 366 that divides 366 without a remainder.
1, 2, 3, 6, 61, 122, 183, 366
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 470, 161, 366, 871 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 470, 161, 366, 871 is 1.
Therefore, GCD of numbers 470, 161, 366, 871 is 1
Given Input Data is 470, 161, 366, 871
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 470 is 2 x 5 x 47
Prime Factorization of 161 is 7 x 23
Prime Factorization of 366 is 2 x 3 x 61
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(470, 161) = 75670
GCD(470, 161) = ( 470 x 161 ) / 75670
GCD(470, 161) = 75670 / 75670
GCD(470, 161) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 366
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 366) = 366
GCD(1, 366) = ( 1 x 366 ) / 366
GCD(1, 366) = 366 / 366
GCD(1, 366) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 871
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 871) = 871
GCD(1, 871) = ( 1 x 871 ) / 871
GCD(1, 871) = 871 / 871
GCD(1, 871) = 1
GCD of 470, 161, 366, 871 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 470, 161, 366, 871?
GCD of 470, 161, 366, 871 is 1
2. Where do I get the detailed procedure to find GCD of 470, 161, 366, 871?
You can find a detailed procedure to find GCD of 470, 161, 366, 871 on our page.
3. How to find GCD of 470, 161, 366, 871 on a calculator?
You can find the GCD of 470, 161, 366, 871 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.