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 773, 105, 904, 766 i.e. 1 largest integer that divides all the numbers equally.
GCD of 773, 105, 904, 766 is 1
GCD(773, 105, 904, 766) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 773, 105, 904, 766 is 1
GCD(773, 105, 904, 766) = 1
Given Input numbers are 773, 105, 904, 766
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 773
List of positive integer divisors of 773 that divides 773 without a remainder.
1, 773
Divisors of 105
List of positive integer divisors of 105 that divides 105 without a remainder.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 904
List of positive integer divisors of 904 that divides 904 without a remainder.
1, 2, 4, 8, 113, 226, 452, 904
Divisors of 766
List of positive integer divisors of 766 that divides 766 without a remainder.
1, 2, 383, 766
Greatest Common Divisior
We found the divisors of 773, 105, 904, 766 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 773, 105, 904, 766 is 1.
Therefore, GCD of numbers 773, 105, 904, 766 is 1
Given Input Data is 773, 105, 904, 766
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 773 is 773
Prime Factorization of 105 is 3 x 5 x 7
Prime Factorization of 904 is 2 x 2 x 2 x 113
Prime Factorization of 766 is 2 x 383
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(773, 105) = 81165
GCD(773, 105) = ( 773 x 105 ) / 81165
GCD(773, 105) = 81165 / 81165
GCD(773, 105) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 904
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 904) = 904
GCD(1, 904) = ( 1 x 904 ) / 904
GCD(1, 904) = 904 / 904
GCD(1, 904) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 766
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 766) = 766
GCD(1, 766) = ( 1 x 766 ) / 766
GCD(1, 766) = 766 / 766
GCD(1, 766) = 1
GCD of 773, 105, 904, 766 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 773, 105, 904, 766?
GCD of 773, 105, 904, 766 is 1
2. Where do I get the detailed procedure to find GCD of 773, 105, 904, 766?
You can find a detailed procedure to find GCD of 773, 105, 904, 766 on our page.
3. How to find GCD of 773, 105, 904, 766 on a calculator?
You can find the GCD of 773, 105, 904, 766 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.