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, 40, 65 i.e. 1 largest integer that divides all the numbers equally.
GCD of 18, 40, 65 is 1
GCD(18, 40, 65) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 18, 40, 65 is 1
GCD(18, 40, 65) = 1
Given Input numbers are 18, 40, 65
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 40
List of positive integer divisors of 40 that divides 40 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40
Divisors of 65
List of positive integer divisors of 65 that divides 65 without a remainder.
1, 5, 13, 65
Greatest Common Divisior
We found the divisors of 18, 40, 65 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 40, 65 is 1.
Therefore, GCD of numbers 18, 40, 65 is 1
Given Input Data is 18, 40, 65
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 40 is 2 x 2 x 2 x 5
Prime Factorization of 65 is 5 x 13
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, 40) = 360
GCD(18, 40) = ( 18 x 40 ) / 360
GCD(18, 40) = 720 / 360
GCD(18, 40) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 65
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 65) = 130
GCD(2, 65) = ( 2 x 65 ) / 130
GCD(2, 65) = 130 / 130
GCD(2, 65) = 1
GCD of 18, 40, 65 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 18, 40, 65?
GCD of 18, 40, 65 is 1
2. Where do I get the detailed procedure to find GCD of 18, 40, 65?
You can find a detailed procedure to find GCD of 18, 40, 65 on our page.
3. How to find GCD of 18, 40, 65 on a calculator?
You can find the GCD of 18, 40, 65 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.