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 774, 784, 229, 867 i.e. 1 largest integer that divides all the numbers equally.
GCD of 774, 784, 229, 867 is 1
GCD(774, 784, 229, 867) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 774, 784, 229, 867 is 1
GCD(774, 784, 229, 867) = 1
Given Input numbers are 774, 784, 229, 867
To find the GCD of numbers using factoring list out all the divisors of each number
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 784
List of positive integer divisors of 784 that divides 784 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
Divisors of 229
List of positive integer divisors of 229 that divides 229 without a remainder.
1, 229
Divisors of 867
List of positive integer divisors of 867 that divides 867 without a remainder.
1, 3, 17, 51, 289, 867
Greatest Common Divisior
We found the divisors of 774, 784, 229, 867 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 774, 784, 229, 867 is 1.
Therefore, GCD of numbers 774, 784, 229, 867 is 1
Given Input Data is 774, 784, 229, 867
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 774 is 2 x 3 x 3 x 43
Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7
Prime Factorization of 229 is 229
Prime Factorization of 867 is 3 x 17 x 17
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(774, 784) = 303408
GCD(774, 784) = ( 774 x 784 ) / 303408
GCD(774, 784) = 606816 / 303408
GCD(774, 784) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 229
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 229) = 458
GCD(2, 229) = ( 2 x 229 ) / 458
GCD(2, 229) = 458 / 458
GCD(2, 229) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 867
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 867) = 867
GCD(1, 867) = ( 1 x 867 ) / 867
GCD(1, 867) = 867 / 867
GCD(1, 867) = 1
GCD of 774, 784, 229, 867 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 774, 784, 229, 867?
GCD of 774, 784, 229, 867 is 1
2. Where do I get the detailed procedure to find GCD of 774, 784, 229, 867?
You can find a detailed procedure to find GCD of 774, 784, 229, 867 on our page.
3. How to find GCD of 774, 784, 229, 867 on a calculator?
You can find the GCD of 774, 784, 229, 867 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.