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, 197, 32, 635 i.e. 1 largest integer that divides all the numbers equally.
GCD of 728, 197, 32, 635 is 1
GCD(728, 197, 32, 635) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 728, 197, 32, 635 is 1
GCD(728, 197, 32, 635) = 1
Given Input numbers are 728, 197, 32, 635
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 197
List of positive integer divisors of 197 that divides 197 without a remainder.
1, 197
Divisors of 32
List of positive integer divisors of 32 that divides 32 without a remainder.
1, 2, 4, 8, 16, 32
Divisors of 635
List of positive integer divisors of 635 that divides 635 without a remainder.
1, 5, 127, 635
Greatest Common Divisior
We found the divisors of 728, 197, 32, 635 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 728, 197, 32, 635 is 1.
Therefore, GCD of numbers 728, 197, 32, 635 is 1
Given Input Data is 728, 197, 32, 635
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 197 is 197
Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2
Prime Factorization of 635 is 5 x 127
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, 197) = 143416
GCD(728, 197) = ( 728 x 197 ) / 143416
GCD(728, 197) = 143416 / 143416
GCD(728, 197) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 32
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 32) = 32
GCD(1, 32) = ( 1 x 32 ) / 32
GCD(1, 32) = 32 / 32
GCD(1, 32) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 635
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 635) = 635
GCD(1, 635) = ( 1 x 635 ) / 635
GCD(1, 635) = 635 / 635
GCD(1, 635) = 1
GCD of 728, 197, 32, 635 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 728, 197, 32, 635?
GCD of 728, 197, 32, 635 is 1
2. Where do I get the detailed procedure to find GCD of 728, 197, 32, 635?
You can find a detailed procedure to find GCD of 728, 197, 32, 635 on our page.
3. How to find GCD of 728, 197, 32, 635 on a calculator?
You can find the GCD of 728, 197, 32, 635 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.