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 418, 871, 44, 489 i.e. 1 largest integer that divides all the numbers equally.
GCD of 418, 871, 44, 489 is 1
GCD(418, 871, 44, 489) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 418, 871, 44, 489 is 1
GCD(418, 871, 44, 489) = 1
Given Input numbers are 418, 871, 44, 489
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 418
List of positive integer divisors of 418 that divides 418 without a remainder.
1, 2, 11, 19, 22, 38, 209, 418
Divisors of 871
List of positive integer divisors of 871 that divides 871 without a remainder.
1, 13, 67, 871
Divisors of 44
List of positive integer divisors of 44 that divides 44 without a remainder.
1, 2, 4, 11, 22, 44
Divisors of 489
List of positive integer divisors of 489 that divides 489 without a remainder.
1, 3, 163, 489
Greatest Common Divisior
We found the divisors of 418, 871, 44, 489 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 418, 871, 44, 489 is 1.
Therefore, GCD of numbers 418, 871, 44, 489 is 1
Given Input Data is 418, 871, 44, 489
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 418 is 2 x 11 x 19
Prime Factorization of 871 is 13 x 67
Prime Factorization of 44 is 2 x 2 x 11
Prime Factorization of 489 is 3 x 163
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(418, 871) = 364078
GCD(418, 871) = ( 418 x 871 ) / 364078
GCD(418, 871) = 364078 / 364078
GCD(418, 871) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 44
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 44) = 44
GCD(1, 44) = ( 1 x 44 ) / 44
GCD(1, 44) = 44 / 44
GCD(1, 44) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 489
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 489) = 489
GCD(1, 489) = ( 1 x 489 ) / 489
GCD(1, 489) = 489 / 489
GCD(1, 489) = 1
GCD of 418, 871, 44, 489 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 418, 871, 44, 489?
GCD of 418, 871, 44, 489 is 1
2. Where do I get the detailed procedure to find GCD of 418, 871, 44, 489?
You can find a detailed procedure to find GCD of 418, 871, 44, 489 on our page.
3. How to find GCD of 418, 871, 44, 489 on a calculator?
You can find the GCD of 418, 871, 44, 489 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.