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 663, 153, 40, 773 i.e. 1 largest integer that divides all the numbers equally.
GCD of 663, 153, 40, 773 is 1
GCD(663, 153, 40, 773) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 663, 153, 40, 773 is 1
GCD(663, 153, 40, 773) = 1
Given Input numbers are 663, 153, 40, 773
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 663
List of positive integer divisors of 663 that divides 663 without a remainder.
1, 3, 13, 17, 39, 51, 221, 663
Divisors of 153
List of positive integer divisors of 153 that divides 153 without a remainder.
1, 3, 9, 17, 51, 153
Divisors of 40
List of positive integer divisors of 40 that divides 40 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40
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 663, 153, 40, 773 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 663, 153, 40, 773 is 1.
Therefore, GCD of numbers 663, 153, 40, 773 is 1
Given Input Data is 663, 153, 40, 773
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 663 is 3 x 13 x 17
Prime Factorization of 153 is 3 x 3 x 17
Prime Factorization of 40 is 2 x 2 x 2 x 5
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(663, 153) = 1989
GCD(663, 153) = ( 663 x 153 ) / 1989
GCD(663, 153) = 101439 / 1989
GCD(663, 153) = 51
Step2:
Here we consider the GCD from the above i.e. 51 as first number and the next as 40
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(51, 40) = 2040
GCD(51, 40) = ( 51 x 40 ) / 2040
GCD(51, 40) = 2040 / 2040
GCD(51, 40) = 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 663, 153, 40, 773 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 663, 153, 40, 773?
GCD of 663, 153, 40, 773 is 1
2. Where do I get the detailed procedure to find GCD of 663, 153, 40, 773?
You can find a detailed procedure to find GCD of 663, 153, 40, 773 on our page.
3. How to find GCD of 663, 153, 40, 773 on a calculator?
You can find the GCD of 663, 153, 40, 773 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.