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, 638, 24, 157 i.e. 1 largest integer that divides all the numbers equally.
GCD of 728, 638, 24, 157 is 1
GCD(728, 638, 24, 157) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 728, 638, 24, 157 is 1
GCD(728, 638, 24, 157) = 1
Given Input numbers are 728, 638, 24, 157
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 638
List of positive integer divisors of 638 that divides 638 without a remainder.
1, 2, 11, 22, 29, 58, 319, 638
Divisors of 24
List of positive integer divisors of 24 that divides 24 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24
Divisors of 157
List of positive integer divisors of 157 that divides 157 without a remainder.
1, 157
Greatest Common Divisior
We found the divisors of 728, 638, 24, 157 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 728, 638, 24, 157 is 1.
Therefore, GCD of numbers 728, 638, 24, 157 is 1
Given Input Data is 728, 638, 24, 157
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 638 is 2 x 11 x 29
Prime Factorization of 24 is 2 x 2 x 2 x 3
Prime Factorization of 157 is 157
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, 638) = 232232
GCD(728, 638) = ( 728 x 638 ) / 232232
GCD(728, 638) = 464464 / 232232
GCD(728, 638) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 24
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 24) = 24
GCD(2, 24) = ( 2 x 24 ) / 24
GCD(2, 24) = 48 / 24
GCD(2, 24) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 157
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 157) = 314
GCD(2, 157) = ( 2 x 157 ) / 314
GCD(2, 157) = 314 / 314
GCD(2, 157) = 1
GCD of 728, 638, 24, 157 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 728, 638, 24, 157?
GCD of 728, 638, 24, 157 is 1
2. Where do I get the detailed procedure to find GCD of 728, 638, 24, 157?
You can find a detailed procedure to find GCD of 728, 638, 24, 157 on our page.
3. How to find GCD of 728, 638, 24, 157 on a calculator?
You can find the GCD of 728, 638, 24, 157 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.