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 667, 774, 321, 793 i.e. 1 largest integer that divides all the numbers equally.
GCD of 667, 774, 321, 793 is 1
GCD(667, 774, 321, 793) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 667, 774, 321, 793 is 1
GCD(667, 774, 321, 793) = 1
Given Input numbers are 667, 774, 321, 793
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 667
List of positive integer divisors of 667 that divides 667 without a remainder.
1, 23, 29, 667
Divisors of 774
List of positive integer divisors of 774 that divides 774 without a remainder.
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
Divisors of 321
List of positive integer divisors of 321 that divides 321 without a remainder.
1, 3, 107, 321
Divisors of 793
List of positive integer divisors of 793 that divides 793 without a remainder.
1, 13, 61, 793
Greatest Common Divisior
We found the divisors of 667, 774, 321, 793 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 667, 774, 321, 793 is 1.
Therefore, GCD of numbers 667, 774, 321, 793 is 1
Given Input Data is 667, 774, 321, 793
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 667 is 23 x 29
Prime Factorization of 774 is 2 x 3 x 3 x 43
Prime Factorization of 321 is 3 x 107
Prime Factorization of 793 is 13 x 61
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(667, 774) = 516258
GCD(667, 774) = ( 667 x 774 ) / 516258
GCD(667, 774) = 516258 / 516258
GCD(667, 774) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 321
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 321) = 321
GCD(1, 321) = ( 1 x 321 ) / 321
GCD(1, 321) = 321 / 321
GCD(1, 321) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 793
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 793) = 793
GCD(1, 793) = ( 1 x 793 ) / 793
GCD(1, 793) = 793 / 793
GCD(1, 793) = 1
GCD of 667, 774, 321, 793 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 667, 774, 321, 793?
GCD of 667, 774, 321, 793 is 1
2. Where do I get the detailed procedure to find GCD of 667, 774, 321, 793?
You can find a detailed procedure to find GCD of 667, 774, 321, 793 on our page.
3. How to find GCD of 667, 774, 321, 793 on a calculator?
You can find the GCD of 667, 774, 321, 793 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.