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 945, 873, 19, 773 i.e. 1 largest integer that divides all the numbers equally.
GCD of 945, 873, 19, 773 is 1
GCD(945, 873, 19, 773) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 945, 873, 19, 773 is 1
GCD(945, 873, 19, 773) = 1
Given Input numbers are 945, 873, 19, 773
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 945
List of positive integer divisors of 945 that divides 945 without a remainder.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
Divisors of 873
List of positive integer divisors of 873 that divides 873 without a remainder.
1, 3, 9, 97, 291, 873
Divisors of 19
List of positive integer divisors of 19 that divides 19 without a remainder.
1, 19
Divisors of 773
List of positive integer divisors of 773 that divides 773 without a remainder.
1, 773
Greatest Common Divisior
We found the divisors of 945, 873, 19, 773 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 945, 873, 19, 773 is 1.
Therefore, GCD of numbers 945, 873, 19, 773 is 1
Given Input Data is 945, 873, 19, 773
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7
Prime Factorization of 873 is 3 x 3 x 97
Prime Factorization of 19 is 19
Prime Factorization of 773 is 773
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(945, 873) = 91665
GCD(945, 873) = ( 945 x 873 ) / 91665
GCD(945, 873) = 824985 / 91665
GCD(945, 873) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 19
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 19) = 171
GCD(9, 19) = ( 9 x 19 ) / 171
GCD(9, 19) = 171 / 171
GCD(9, 19) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 773
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 773) = 773
GCD(1, 773) = ( 1 x 773 ) / 773
GCD(1, 773) = 773 / 773
GCD(1, 773) = 1
GCD of 945, 873, 19, 773 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 945, 873, 19, 773?
GCD of 945, 873, 19, 773 is 1
2. Where do I get the detailed procedure to find GCD of 945, 873, 19, 773?
You can find a detailed procedure to find GCD of 945, 873, 19, 773 on our page.
3. How to find GCD of 945, 873, 19, 773 on a calculator?
You can find the GCD of 945, 873, 19, 773 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.