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, 914, 17, 644 i.e. 1 largest integer that divides all the numbers equally.
GCD of 489, 914, 17, 644 is 1
GCD(489, 914, 17, 644) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 489, 914, 17, 644 is 1
GCD(489, 914, 17, 644) = 1
Given Input numbers are 489, 914, 17, 644
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 914
List of positive integer divisors of 914 that divides 914 without a remainder.
1, 2, 457, 914
Divisors of 17
List of positive integer divisors of 17 that divides 17 without a remainder.
1, 17
Divisors of 644
List of positive integer divisors of 644 that divides 644 without a remainder.
1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
Greatest Common Divisior
We found the divisors of 489, 914, 17, 644 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 489, 914, 17, 644 is 1.
Therefore, GCD of numbers 489, 914, 17, 644 is 1
Given Input Data is 489, 914, 17, 644
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 489 is 3 x 163
Prime Factorization of 914 is 2 x 457
Prime Factorization of 17 is 17
Prime Factorization of 644 is 2 x 2 x 7 x 23
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, 914) = 446946
GCD(489, 914) = ( 489 x 914 ) / 446946
GCD(489, 914) = 446946 / 446946
GCD(489, 914) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 17
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 17) = 17
GCD(1, 17) = ( 1 x 17 ) / 17
GCD(1, 17) = 17 / 17
GCD(1, 17) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 644
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 644) = 644
GCD(1, 644) = ( 1 x 644 ) / 644
GCD(1, 644) = 644 / 644
GCD(1, 644) = 1
GCD of 489, 914, 17, 644 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 489, 914, 17, 644?
GCD of 489, 914, 17, 644 is 1
2. Where do I get the detailed procedure to find GCD of 489, 914, 17, 644?
You can find a detailed procedure to find GCD of 489, 914, 17, 644 on our page.
3. How to find GCD of 489, 914, 17, 644 on a calculator?
You can find the GCD of 489, 914, 17, 644 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.