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 728, 238, 667, 922 i.e. 1 largest integer that divides all the numbers equally.
GCD of 728, 238, 667, 922 is 1
GCD(728, 238, 667, 922) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 728, 238, 667, 922 is 1
GCD(728, 238, 667, 922) = 1
Given Input numbers are 728, 238, 667, 922
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 728
List of positive integer divisors of 728 that divides 728 without a remainder.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
Divisors of 238
List of positive integer divisors of 238 that divides 238 without a remainder.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 667
List of positive integer divisors of 667 that divides 667 without a remainder.
1, 23, 29, 667
Divisors of 922
List of positive integer divisors of 922 that divides 922 without a remainder.
1, 2, 461, 922
Greatest Common Divisior
We found the divisors of 728, 238, 667, 922 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 728, 238, 667, 922 is 1.
Therefore, GCD of numbers 728, 238, 667, 922 is 1
Given Input Data is 728, 238, 667, 922
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13
Prime Factorization of 238 is 2 x 7 x 17
Prime Factorization of 667 is 23 x 29
Prime Factorization of 922 is 2 x 461
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(728, 238) = 12376
GCD(728, 238) = ( 728 x 238 ) / 12376
GCD(728, 238) = 173264 / 12376
GCD(728, 238) = 14
Step2:
Here we consider the GCD from the above i.e. 14 as first number and the next as 667
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(14, 667) = 9338
GCD(14, 667) = ( 14 x 667 ) / 9338
GCD(14, 667) = 9338 / 9338
GCD(14, 667) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 922
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 922) = 922
GCD(1, 922) = ( 1 x 922 ) / 922
GCD(1, 922) = 922 / 922
GCD(1, 922) = 1
GCD of 728, 238, 667, 922 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 728, 238, 667, 922?
GCD of 728, 238, 667, 922 is 1
2. Where do I get the detailed procedure to find GCD of 728, 238, 667, 922?
You can find a detailed procedure to find GCD of 728, 238, 667, 922 on our page.
3. How to find GCD of 728, 238, 667, 922 on a calculator?
You can find the GCD of 728, 238, 667, 922 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.