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 478, 727, 40, 822 i.e. 1 largest integer that divides all the numbers equally.
GCD of 478, 727, 40, 822 is 1
GCD(478, 727, 40, 822) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 478, 727, 40, 822 is 1
GCD(478, 727, 40, 822) = 1
Given Input numbers are 478, 727, 40, 822
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 478
List of positive integer divisors of 478 that divides 478 without a remainder.
1, 2, 239, 478
Divisors of 727
List of positive integer divisors of 727 that divides 727 without a remainder.
1, 727
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 822
List of positive integer divisors of 822 that divides 822 without a remainder.
1, 2, 3, 6, 137, 274, 411, 822
Greatest Common Divisior
We found the divisors of 478, 727, 40, 822 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 478, 727, 40, 822 is 1.
Therefore, GCD of numbers 478, 727, 40, 822 is 1
Given Input Data is 478, 727, 40, 822
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 478 is 2 x 239
Prime Factorization of 727 is 727
Prime Factorization of 40 is 2 x 2 x 2 x 5
Prime Factorization of 822 is 2 x 3 x 137
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(478, 727) = 347506
GCD(478, 727) = ( 478 x 727 ) / 347506
GCD(478, 727) = 347506 / 347506
GCD(478, 727) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 40
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 40) = 40
GCD(1, 40) = ( 1 x 40 ) / 40
GCD(1, 40) = 40 / 40
GCD(1, 40) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 822
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 822) = 822
GCD(1, 822) = ( 1 x 822 ) / 822
GCD(1, 822) = 822 / 822
GCD(1, 822) = 1
GCD of 478, 727, 40, 822 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 478, 727, 40, 822?
GCD of 478, 727, 40, 822 is 1
2. Where do I get the detailed procedure to find GCD of 478, 727, 40, 822?
You can find a detailed procedure to find GCD of 478, 727, 40, 822 on our page.
3. How to find GCD of 478, 727, 40, 822 on a calculator?
You can find the GCD of 478, 727, 40, 822 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.