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 209, 779, 81, 913 i.e. 1 largest integer that divides all the numbers equally.
GCD of 209, 779, 81, 913 is 1
GCD(209, 779, 81, 913) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 209, 779, 81, 913 is 1
GCD(209, 779, 81, 913) = 1
Given Input numbers are 209, 779, 81, 913
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 209
List of positive integer divisors of 209 that divides 209 without a remainder.
1, 11, 19, 209
Divisors of 779
List of positive integer divisors of 779 that divides 779 without a remainder.
1, 19, 41, 779
Divisors of 81
List of positive integer divisors of 81 that divides 81 without a remainder.
1, 3, 9, 27, 81
Divisors of 913
List of positive integer divisors of 913 that divides 913 without a remainder.
1, 11, 83, 913
Greatest Common Divisior
We found the divisors of 209, 779, 81, 913 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 209, 779, 81, 913 is 1.
Therefore, GCD of numbers 209, 779, 81, 913 is 1
Given Input Data is 209, 779, 81, 913
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 209 is 11 x 19
Prime Factorization of 779 is 19 x 41
Prime Factorization of 81 is 3 x 3 x 3 x 3
Prime Factorization of 913 is 11 x 83
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(209, 779) = 8569
GCD(209, 779) = ( 209 x 779 ) / 8569
GCD(209, 779) = 162811 / 8569
GCD(209, 779) = 19
Step2:
Here we consider the GCD from the above i.e. 19 as first number and the next as 81
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(19, 81) = 1539
GCD(19, 81) = ( 19 x 81 ) / 1539
GCD(19, 81) = 1539 / 1539
GCD(19, 81) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 913
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 913) = 913
GCD(1, 913) = ( 1 x 913 ) / 913
GCD(1, 913) = 913 / 913
GCD(1, 913) = 1
GCD of 209, 779, 81, 913 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 209, 779, 81, 913?
GCD of 209, 779, 81, 913 is 1
2. Where do I get the detailed procedure to find GCD of 209, 779, 81, 913?
You can find a detailed procedure to find GCD of 209, 779, 81, 913 on our page.
3. How to find GCD of 209, 779, 81, 913 on a calculator?
You can find the GCD of 209, 779, 81, 913 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.