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 137, 813, 782, 819 i.e. 1 largest integer that divides all the numbers equally.
GCD of 137, 813, 782, 819 is 1
GCD(137, 813, 782, 819) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 137, 813, 782, 819 is 1
GCD(137, 813, 782, 819) = 1
Given Input numbers are 137, 813, 782, 819
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 137
List of positive integer divisors of 137 that divides 137 without a remainder.
1, 137
Divisors of 813
List of positive integer divisors of 813 that divides 813 without a remainder.
1, 3, 271, 813
Divisors of 782
List of positive integer divisors of 782 that divides 782 without a remainder.
1, 2, 17, 23, 34, 46, 391, 782
Divisors of 819
List of positive integer divisors of 819 that divides 819 without a remainder.
1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
Greatest Common Divisior
We found the divisors of 137, 813, 782, 819 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 137, 813, 782, 819 is 1.
Therefore, GCD of numbers 137, 813, 782, 819 is 1
Given Input Data is 137, 813, 782, 819
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 137 is 137
Prime Factorization of 813 is 3 x 271
Prime Factorization of 782 is 2 x 17 x 23
Prime Factorization of 819 is 3 x 3 x 7 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(137, 813) = 111381
GCD(137, 813) = ( 137 x 813 ) / 111381
GCD(137, 813) = 111381 / 111381
GCD(137, 813) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 782
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 782) = 782
GCD(1, 782) = ( 1 x 782 ) / 782
GCD(1, 782) = 782 / 782
GCD(1, 782) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 819
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 819) = 819
GCD(1, 819) = ( 1 x 819 ) / 819
GCD(1, 819) = 819 / 819
GCD(1, 819) = 1
GCD of 137, 813, 782, 819 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 137, 813, 782, 819?
GCD of 137, 813, 782, 819 is 1
2. Where do I get the detailed procedure to find GCD of 137, 813, 782, 819?
You can find a detailed procedure to find GCD of 137, 813, 782, 819 on our page.
3. How to find GCD of 137, 813, 782, 819 on a calculator?
You can find the GCD of 137, 813, 782, 819 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.