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 777, 446, 13, 287 i.e. 1 largest integer that divides all the numbers equally.
GCD of 777, 446, 13, 287 is 1
GCD(777, 446, 13, 287) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 777, 446, 13, 287 is 1
GCD(777, 446, 13, 287) = 1
Given Input numbers are 777, 446, 13, 287
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 777
List of positive integer divisors of 777 that divides 777 without a remainder.
1, 3, 7, 21, 37, 111, 259, 777
Divisors of 446
List of positive integer divisors of 446 that divides 446 without a remainder.
1, 2, 223, 446
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 287
List of positive integer divisors of 287 that divides 287 without a remainder.
1, 7, 41, 287
Greatest Common Divisior
We found the divisors of 777, 446, 13, 287 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 777, 446, 13, 287 is 1.
Therefore, GCD of numbers 777, 446, 13, 287 is 1
Given Input Data is 777, 446, 13, 287
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 777 is 3 x 7 x 37
Prime Factorization of 446 is 2 x 223
Prime Factorization of 13 is 13
Prime Factorization of 287 is 7 x 41
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(777, 446) = 346542
GCD(777, 446) = ( 777 x 446 ) / 346542
GCD(777, 446) = 346542 / 346542
GCD(777, 446) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 13
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 13) = 13
GCD(1, 13) = ( 1 x 13 ) / 13
GCD(1, 13) = 13 / 13
GCD(1, 13) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 287
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 287) = 287
GCD(1, 287) = ( 1 x 287 ) / 287
GCD(1, 287) = 287 / 287
GCD(1, 287) = 1
GCD of 777, 446, 13, 287 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 777, 446, 13, 287?
GCD of 777, 446, 13, 287 is 1
2. Where do I get the detailed procedure to find GCD of 777, 446, 13, 287?
You can find a detailed procedure to find GCD of 777, 446, 13, 287 on our page.
3. How to find GCD of 777, 446, 13, 287 on a calculator?
You can find the GCD of 777, 446, 13, 287 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.