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 73, 922, 808, 966 i.e. 1 largest integer that divides all the numbers equally.
GCD of 73, 922, 808, 966 is 1
GCD(73, 922, 808, 966) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 73, 922, 808, 966 is 1
GCD(73, 922, 808, 966) = 1
Given Input numbers are 73, 922, 808, 966
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Divisors of 922
List of positive integer divisors of 922 that divides 922 without a remainder.
1, 2, 461, 922
Divisors of 808
List of positive integer divisors of 808 that divides 808 without a remainder.
1, 2, 4, 8, 101, 202, 404, 808
Divisors of 966
List of positive integer divisors of 966 that divides 966 without a remainder.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
Greatest Common Divisior
We found the divisors of 73, 922, 808, 966 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 73, 922, 808, 966 is 1.
Therefore, GCD of numbers 73, 922, 808, 966 is 1
Given Input Data is 73, 922, 808, 966
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 73 is 73
Prime Factorization of 922 is 2 x 461
Prime Factorization of 808 is 2 x 2 x 2 x 101
Prime Factorization of 966 is 2 x 3 x 7 x 23
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(73, 922) = 67306
GCD(73, 922) = ( 73 x 922 ) / 67306
GCD(73, 922) = 67306 / 67306
GCD(73, 922) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 808
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 808) = 808
GCD(1, 808) = ( 1 x 808 ) / 808
GCD(1, 808) = 808 / 808
GCD(1, 808) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 966
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 966) = 966
GCD(1, 966) = ( 1 x 966 ) / 966
GCD(1, 966) = 966 / 966
GCD(1, 966) = 1
GCD of 73, 922, 808, 966 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 73, 922, 808, 966?
GCD of 73, 922, 808, 966 is 1
2. Where do I get the detailed procedure to find GCD of 73, 922, 808, 966?
You can find a detailed procedure to find GCD of 73, 922, 808, 966 on our page.
3. How to find GCD of 73, 922, 808, 966 on a calculator?
You can find the GCD of 73, 922, 808, 966 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.