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 18, 322, 457, 607 i.e. 1 largest integer that divides all the numbers equally.
GCD of 18, 322, 457, 607 is 1
GCD(18, 322, 457, 607) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 18, 322, 457, 607 is 1
GCD(18, 322, 457, 607) = 1
Given Input numbers are 18, 322, 457, 607
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 18
List of positive integer divisors of 18 that divides 18 without a remainder.
1, 2, 3, 6, 9, 18
Divisors of 322
List of positive integer divisors of 322 that divides 322 without a remainder.
1, 2, 7, 14, 23, 46, 161, 322
Divisors of 457
List of positive integer divisors of 457 that divides 457 without a remainder.
1, 457
Divisors of 607
List of positive integer divisors of 607 that divides 607 without a remainder.
1, 607
Greatest Common Divisior
We found the divisors of 18, 322, 457, 607 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 322, 457, 607 is 1.
Therefore, GCD of numbers 18, 322, 457, 607 is 1
Given Input Data is 18, 322, 457, 607
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 18 is 2 x 3 x 3
Prime Factorization of 322 is 2 x 7 x 23
Prime Factorization of 457 is 457
Prime Factorization of 607 is 607
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(18, 322) = 2898
GCD(18, 322) = ( 18 x 322 ) / 2898
GCD(18, 322) = 5796 / 2898
GCD(18, 322) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 457
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 457) = 914
GCD(2, 457) = ( 2 x 457 ) / 914
GCD(2, 457) = 914 / 914
GCD(2, 457) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 607
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 607) = 607
GCD(1, 607) = ( 1 x 607 ) / 607
GCD(1, 607) = 607 / 607
GCD(1, 607) = 1
GCD of 18, 322, 457, 607 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 18, 322, 457, 607?
GCD of 18, 322, 457, 607 is 1
2. Where do I get the detailed procedure to find GCD of 18, 322, 457, 607?
You can find a detailed procedure to find GCD of 18, 322, 457, 607 on our page.
3. How to find GCD of 18, 322, 457, 607 on a calculator?
You can find the GCD of 18, 322, 457, 607 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.