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, 790, 54, 981 i.e. 1 largest integer that divides all the numbers equally.
GCD of 815, 790, 54, 981 is 1
GCD(815, 790, 54, 981) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 815, 790, 54, 981 is 1
GCD(815, 790, 54, 981) = 1
Given Input numbers are 815, 790, 54, 981
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 790
List of positive integer divisors of 790 that divides 790 without a remainder.
1, 2, 5, 10, 79, 158, 395, 790
Divisors of 54
List of positive integer divisors of 54 that divides 54 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54
Divisors of 981
List of positive integer divisors of 981 that divides 981 without a remainder.
1, 3, 9, 109, 327, 981
Greatest Common Divisior
We found the divisors of 815, 790, 54, 981 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 815, 790, 54, 981 is 1.
Therefore, GCD of numbers 815, 790, 54, 981 is 1
Given Input Data is 815, 790, 54, 981
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 815 is 5 x 163
Prime Factorization of 790 is 2 x 5 x 79
Prime Factorization of 54 is 2 x 3 x 3 x 3
Prime Factorization of 981 is 3 x 3 x 109
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, 790) = 128770
GCD(815, 790) = ( 815 x 790 ) / 128770
GCD(815, 790) = 643850 / 128770
GCD(815, 790) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 54
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 54) = 270
GCD(5, 54) = ( 5 x 54 ) / 270
GCD(5, 54) = 270 / 270
GCD(5, 54) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 981
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 981) = 981
GCD(1, 981) = ( 1 x 981 ) / 981
GCD(1, 981) = 981 / 981
GCD(1, 981) = 1
GCD of 815, 790, 54, 981 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 815, 790, 54, 981?
GCD of 815, 790, 54, 981 is 1
2. Where do I get the detailed procedure to find GCD of 815, 790, 54, 981?
You can find a detailed procedure to find GCD of 815, 790, 54, 981 on our page.
3. How to find GCD of 815, 790, 54, 981 on a calculator?
You can find the GCD of 815, 790, 54, 981 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.