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 489, 666, 488, 837 i.e. 1 largest integer that divides all the numbers equally.
GCD of 489, 666, 488, 837 is 1
GCD(489, 666, 488, 837) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 489, 666, 488, 837 is 1
GCD(489, 666, 488, 837) = 1
Given Input numbers are 489, 666, 488, 837
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 489
List of positive integer divisors of 489 that divides 489 without a remainder.
1, 3, 163, 489
Divisors of 666
List of positive integer divisors of 666 that divides 666 without a remainder.
1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
Divisors of 488
List of positive integer divisors of 488 that divides 488 without a remainder.
1, 2, 4, 8, 61, 122, 244, 488
Divisors of 837
List of positive integer divisors of 837 that divides 837 without a remainder.
1, 3, 9, 27, 31, 93, 279, 837
Greatest Common Divisior
We found the divisors of 489, 666, 488, 837 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 489, 666, 488, 837 is 1.
Therefore, GCD of numbers 489, 666, 488, 837 is 1
Given Input Data is 489, 666, 488, 837
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 489 is 3 x 163
Prime Factorization of 666 is 2 x 3 x 3 x 37
Prime Factorization of 488 is 2 x 2 x 2 x 61
Prime Factorization of 837 is 3 x 3 x 3 x 31
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(489, 666) = 108558
GCD(489, 666) = ( 489 x 666 ) / 108558
GCD(489, 666) = 325674 / 108558
GCD(489, 666) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 488
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 488) = 1464
GCD(3, 488) = ( 3 x 488 ) / 1464
GCD(3, 488) = 1464 / 1464
GCD(3, 488) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 837
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 837) = 837
GCD(1, 837) = ( 1 x 837 ) / 837
GCD(1, 837) = 837 / 837
GCD(1, 837) = 1
GCD of 489, 666, 488, 837 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 489, 666, 488, 837?
GCD of 489, 666, 488, 837 is 1
2. Where do I get the detailed procedure to find GCD of 489, 666, 488, 837?
You can find a detailed procedure to find GCD of 489, 666, 488, 837 on our page.
3. How to find GCD of 489, 666, 488, 837 on a calculator?
You can find the GCD of 489, 666, 488, 837 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.