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 782, 913, 92, 817 i.e. 1 largest integer that divides all the numbers equally.
GCD of 782, 913, 92, 817 is 1
GCD(782, 913, 92, 817) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 782, 913, 92, 817 is 1
GCD(782, 913, 92, 817) = 1
Given Input numbers are 782, 913, 92, 817
To find the GCD of numbers using factoring list out all the divisors of each number
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 913
List of positive integer divisors of 913 that divides 913 without a remainder.
1, 11, 83, 913
Divisors of 92
List of positive integer divisors of 92 that divides 92 without a remainder.
1, 2, 4, 23, 46, 92
Divisors of 817
List of positive integer divisors of 817 that divides 817 without a remainder.
1, 19, 43, 817
Greatest Common Divisior
We found the divisors of 782, 913, 92, 817 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 782, 913, 92, 817 is 1.
Therefore, GCD of numbers 782, 913, 92, 817 is 1
Given Input Data is 782, 913, 92, 817
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 782 is 2 x 17 x 23
Prime Factorization of 913 is 11 x 83
Prime Factorization of 92 is 2 x 2 x 23
Prime Factorization of 817 is 19 x 43
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(782, 913) = 713966
GCD(782, 913) = ( 782 x 913 ) / 713966
GCD(782, 913) = 713966 / 713966
GCD(782, 913) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 92
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 92) = 92
GCD(1, 92) = ( 1 x 92 ) / 92
GCD(1, 92) = 92 / 92
GCD(1, 92) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 817
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 817) = 817
GCD(1, 817) = ( 1 x 817 ) / 817
GCD(1, 817) = 817 / 817
GCD(1, 817) = 1
GCD of 782, 913, 92, 817 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 782, 913, 92, 817?
GCD of 782, 913, 92, 817 is 1
2. Where do I get the detailed procedure to find GCD of 782, 913, 92, 817?
You can find a detailed procedure to find GCD of 782, 913, 92, 817 on our page.
3. How to find GCD of 782, 913, 92, 817 on a calculator?
You can find the GCD of 782, 913, 92, 817 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.