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, 423, 99, 341 i.e. 1 largest integer that divides all the numbers equally.
GCD of 728, 423, 99, 341 is 1
GCD(728, 423, 99, 341) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 728, 423, 99, 341 is 1
GCD(728, 423, 99, 341) = 1
Given Input numbers are 728, 423, 99, 341
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 423
List of positive integer divisors of 423 that divides 423 without a remainder.
1, 3, 9, 47, 141, 423
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 341
List of positive integer divisors of 341 that divides 341 without a remainder.
1, 11, 31, 341
Greatest Common Divisior
We found the divisors of 728, 423, 99, 341 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 728, 423, 99, 341 is 1.
Therefore, GCD of numbers 728, 423, 99, 341 is 1
Given Input Data is 728, 423, 99, 341
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 423 is 3 x 3 x 47
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 341 is 11 x 31
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, 423) = 307944
GCD(728, 423) = ( 728 x 423 ) / 307944
GCD(728, 423) = 307944 / 307944
GCD(728, 423) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 99) = 99
GCD(1, 99) = ( 1 x 99 ) / 99
GCD(1, 99) = 99 / 99
GCD(1, 99) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 341
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 341) = 341
GCD(1, 341) = ( 1 x 341 ) / 341
GCD(1, 341) = 341 / 341
GCD(1, 341) = 1
GCD of 728, 423, 99, 341 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 728, 423, 99, 341?
GCD of 728, 423, 99, 341 is 1
2. Where do I get the detailed procedure to find GCD of 728, 423, 99, 341?
You can find a detailed procedure to find GCD of 728, 423, 99, 341 on our page.
3. How to find GCD of 728, 423, 99, 341 on a calculator?
You can find the GCD of 728, 423, 99, 341 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.