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 442, 789, 18, 609 i.e. 1 largest integer that divides all the numbers equally.
GCD of 442, 789, 18, 609 is 1
GCD(442, 789, 18, 609) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 442, 789, 18, 609 is 1
GCD(442, 789, 18, 609) = 1
Given Input numbers are 442, 789, 18, 609
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 442
List of positive integer divisors of 442 that divides 442 without a remainder.
1, 2, 13, 17, 26, 34, 221, 442
Divisors of 789
List of positive integer divisors of 789 that divides 789 without a remainder.
1, 3, 263, 789
Divisors of 18
List of positive integer divisors of 18 that divides 18 without a remainder.
1, 2, 3, 6, 9, 18
Divisors of 609
List of positive integer divisors of 609 that divides 609 without a remainder.
1, 3, 7, 21, 29, 87, 203, 609
Greatest Common Divisior
We found the divisors of 442, 789, 18, 609 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 442, 789, 18, 609 is 1.
Therefore, GCD of numbers 442, 789, 18, 609 is 1
Given Input Data is 442, 789, 18, 609
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 442 is 2 x 13 x 17
Prime Factorization of 789 is 3 x 263
Prime Factorization of 18 is 2 x 3 x 3
Prime Factorization of 609 is 3 x 7 x 29
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(442, 789) = 348738
GCD(442, 789) = ( 442 x 789 ) / 348738
GCD(442, 789) = 348738 / 348738
GCD(442, 789) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 18
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 18) = 18
GCD(1, 18) = ( 1 x 18 ) / 18
GCD(1, 18) = 18 / 18
GCD(1, 18) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 609
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 609) = 609
GCD(1, 609) = ( 1 x 609 ) / 609
GCD(1, 609) = 609 / 609
GCD(1, 609) = 1
GCD of 442, 789, 18, 609 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 442, 789, 18, 609?
GCD of 442, 789, 18, 609 is 1
2. Where do I get the detailed procedure to find GCD of 442, 789, 18, 609?
You can find a detailed procedure to find GCD of 442, 789, 18, 609 on our page.
3. How to find GCD of 442, 789, 18, 609 on a calculator?
You can find the GCD of 442, 789, 18, 609 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.