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 815, 260, 40, 392 i.e. 1 largest integer that divides all the numbers equally.
GCD of 815, 260, 40, 392 is 1
GCD(815, 260, 40, 392) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 815, 260, 40, 392 is 1
GCD(815, 260, 40, 392) = 1
Given Input numbers are 815, 260, 40, 392
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 815
List of positive integer divisors of 815 that divides 815 without a remainder.
1, 5, 163, 815
Divisors of 260
List of positive integer divisors of 260 that divides 260 without a remainder.
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
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 392
List of positive integer divisors of 392 that divides 392 without a remainder.
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
Greatest Common Divisior
We found the divisors of 815, 260, 40, 392 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 815, 260, 40, 392 is 1.
Therefore, GCD of numbers 815, 260, 40, 392 is 1
Given Input Data is 815, 260, 40, 392
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 815 is 5 x 163
Prime Factorization of 260 is 2 x 2 x 5 x 13
Prime Factorization of 40 is 2 x 2 x 2 x 5
Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7
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(815, 260) = 42380
GCD(815, 260) = ( 815 x 260 ) / 42380
GCD(815, 260) = 211900 / 42380
GCD(815, 260) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 40
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 40) = 40
GCD(5, 40) = ( 5 x 40 ) / 40
GCD(5, 40) = 200 / 40
GCD(5, 40) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 392
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 392) = 1960
GCD(5, 392) = ( 5 x 392 ) / 1960
GCD(5, 392) = 1960 / 1960
GCD(5, 392) = 1
GCD of 815, 260, 40, 392 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 815, 260, 40, 392?
GCD of 815, 260, 40, 392 is 1
2. Where do I get the detailed procedure to find GCD of 815, 260, 40, 392?
You can find a detailed procedure to find GCD of 815, 260, 40, 392 on our page.
3. How to find GCD of 815, 260, 40, 392 on a calculator?
You can find the GCD of 815, 260, 40, 392 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.