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 522, 387, 40 i.e. 1 largest integer that divides all the numbers equally.
GCD of 522, 387, 40 is 1
GCD(522, 387, 40) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 522, 387, 40 is 1
GCD(522, 387, 40) = 1
Given Input numbers are 522, 387, 40
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 522
List of positive integer divisors of 522 that divides 522 without a remainder.
1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
Divisors of 387
List of positive integer divisors of 387 that divides 387 without a remainder.
1, 3, 9, 43, 129, 387
Divisors of 40
List of positive integer divisors of 40 that divides 40 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40
Greatest Common Divisior
We found the divisors of 522, 387, 40 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 522, 387, 40 is 1.
Therefore, GCD of numbers 522, 387, 40 is 1
Given Input Data is 522, 387, 40
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 522 is 2 x 3 x 3 x 29
Prime Factorization of 387 is 3 x 3 x 43
Prime Factorization of 40 is 2 x 2 x 2 x 5
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(522, 387) = 22446
GCD(522, 387) = ( 522 x 387 ) / 22446
GCD(522, 387) = 202014 / 22446
GCD(522, 387) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 40
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 40) = 360
GCD(9, 40) = ( 9 x 40 ) / 360
GCD(9, 40) = 360 / 360
GCD(9, 40) = 1
GCD of 522, 387, 40 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 522, 387, 40?
GCD of 522, 387, 40 is 1
2. Where do I get the detailed procedure to find GCD of 522, 387, 40?
You can find a detailed procedure to find GCD of 522, 387, 40 on our page.
3. How to find GCD of 522, 387, 40 on a calculator?
You can find the GCD of 522, 387, 40 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.