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 66, 111, 866, 773 i.e. 1 largest integer that divides all the numbers equally.
GCD of 66, 111, 866, 773 is 1
GCD(66, 111, 866, 773) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 66, 111, 866, 773 is 1
GCD(66, 111, 866, 773) = 1
Given Input numbers are 66, 111, 866, 773
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 66
List of positive integer divisors of 66 that divides 66 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66
Divisors of 111
List of positive integer divisors of 111 that divides 111 without a remainder.
1, 3, 37, 111
Divisors of 866
List of positive integer divisors of 866 that divides 866 without a remainder.
1, 2, 433, 866
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 66, 111, 866, 773 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 66, 111, 866, 773 is 1.
Therefore, GCD of numbers 66, 111, 866, 773 is 1
Given Input Data is 66, 111, 866, 773
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 66 is 2 x 3 x 11
Prime Factorization of 111 is 3 x 37
Prime Factorization of 866 is 2 x 433
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(66, 111) = 2442
GCD(66, 111) = ( 66 x 111 ) / 2442
GCD(66, 111) = 7326 / 2442
GCD(66, 111) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 866
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 866) = 2598
GCD(3, 866) = ( 3 x 866 ) / 2598
GCD(3, 866) = 2598 / 2598
GCD(3, 866) = 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 66, 111, 866, 773 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 66, 111, 866, 773?
GCD of 66, 111, 866, 773 is 1
2. Where do I get the detailed procedure to find GCD of 66, 111, 866, 773?
You can find a detailed procedure to find GCD of 66, 111, 866, 773 on our page.
3. How to find GCD of 66, 111, 866, 773 on a calculator?
You can find the GCD of 66, 111, 866, 773 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.