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 677, 416, 683, 777 i.e. 1 largest integer that divides all the numbers equally.
GCD of 677, 416, 683, 777 is 1
GCD(677, 416, 683, 777) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 677, 416, 683, 777 is 1
GCD(677, 416, 683, 777) = 1
Given Input numbers are 677, 416, 683, 777
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 677
List of positive integer divisors of 677 that divides 677 without a remainder.
1, 677
Divisors of 416
List of positive integer divisors of 416 that divides 416 without a remainder.
1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
Divisors of 683
List of positive integer divisors of 683 that divides 683 without a remainder.
1, 683
Divisors of 777
List of positive integer divisors of 777 that divides 777 without a remainder.
1, 3, 7, 21, 37, 111, 259, 777
Greatest Common Divisior
We found the divisors of 677, 416, 683, 777 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 677, 416, 683, 777 is 1.
Therefore, GCD of numbers 677, 416, 683, 777 is 1
Given Input Data is 677, 416, 683, 777
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 677 is 677
Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13
Prime Factorization of 683 is 683
Prime Factorization of 777 is 3 x 7 x 37
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(677, 416) = 281632
GCD(677, 416) = ( 677 x 416 ) / 281632
GCD(677, 416) = 281632 / 281632
GCD(677, 416) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 683
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 683) = 683
GCD(1, 683) = ( 1 x 683 ) / 683
GCD(1, 683) = 683 / 683
GCD(1, 683) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 777
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 777) = 777
GCD(1, 777) = ( 1 x 777 ) / 777
GCD(1, 777) = 777 / 777
GCD(1, 777) = 1
GCD of 677, 416, 683, 777 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 677, 416, 683, 777?
GCD of 677, 416, 683, 777 is 1
2. Where do I get the detailed procedure to find GCD of 677, 416, 683, 777?
You can find a detailed procedure to find GCD of 677, 416, 683, 777 on our page.
3. How to find GCD of 677, 416, 683, 777 on a calculator?
You can find the GCD of 677, 416, 683, 777 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.