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, 455, 872, 798 i.e. 1 largest integer that divides all the numbers equally.
GCD of 777, 455, 872, 798 is 1
GCD(777, 455, 872, 798) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 777, 455, 872, 798 is 1
GCD(777, 455, 872, 798) = 1
Given Input numbers are 777, 455, 872, 798
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 455
List of positive integer divisors of 455 that divides 455 without a remainder.
1, 5, 7, 13, 35, 65, 91, 455
Divisors of 872
List of positive integer divisors of 872 that divides 872 without a remainder.
1, 2, 4, 8, 109, 218, 436, 872
Divisors of 798
List of positive integer divisors of 798 that divides 798 without a remainder.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
Greatest Common Divisior
We found the divisors of 777, 455, 872, 798 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 777, 455, 872, 798 is 1.
Therefore, GCD of numbers 777, 455, 872, 798 is 1
Given Input Data is 777, 455, 872, 798
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 455 is 5 x 7 x 13
Prime Factorization of 872 is 2 x 2 x 2 x 109
Prime Factorization of 798 is 2 x 3 x 7 x 19
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, 455) = 50505
GCD(777, 455) = ( 777 x 455 ) / 50505
GCD(777, 455) = 353535 / 50505
GCD(777, 455) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 872
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 872) = 6104
GCD(7, 872) = ( 7 x 872 ) / 6104
GCD(7, 872) = 6104 / 6104
GCD(7, 872) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 798
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 798) = 798
GCD(1, 798) = ( 1 x 798 ) / 798
GCD(1, 798) = 798 / 798
GCD(1, 798) = 1
GCD of 777, 455, 872, 798 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 777, 455, 872, 798?
GCD of 777, 455, 872, 798 is 1
2. Where do I get the detailed procedure to find GCD of 777, 455, 872, 798?
You can find a detailed procedure to find GCD of 777, 455, 872, 798 on our page.
3. How to find GCD of 777, 455, 872, 798 on a calculator?
You can find the GCD of 777, 455, 872, 798 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.