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 671, 230, 72, 728 i.e. 1 largest integer that divides all the numbers equally.
GCD of 671, 230, 72, 728 is 1
GCD(671, 230, 72, 728) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 671, 230, 72, 728 is 1
GCD(671, 230, 72, 728) = 1
Given Input numbers are 671, 230, 72, 728
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 671
List of positive integer divisors of 671 that divides 671 without a remainder.
1, 11, 61, 671
Divisors of 230
List of positive integer divisors of 230 that divides 230 without a remainder.
1, 2, 5, 10, 23, 46, 115, 230
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
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
Greatest Common Divisior
We found the divisors of 671, 230, 72, 728 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 671, 230, 72, 728 is 1.
Therefore, GCD of numbers 671, 230, 72, 728 is 1
Given Input Data is 671, 230, 72, 728
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 671 is 11 x 61
Prime Factorization of 230 is 2 x 5 x 23
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13
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(671, 230) = 154330
GCD(671, 230) = ( 671 x 230 ) / 154330
GCD(671, 230) = 154330 / 154330
GCD(671, 230) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 72) = 72
GCD(1, 72) = ( 1 x 72 ) / 72
GCD(1, 72) = 72 / 72
GCD(1, 72) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 728
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 728) = 728
GCD(1, 728) = ( 1 x 728 ) / 728
GCD(1, 728) = 728 / 728
GCD(1, 728) = 1
GCD of 671, 230, 72, 728 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 671, 230, 72, 728?
GCD of 671, 230, 72, 728 is 1
2. Where do I get the detailed procedure to find GCD of 671, 230, 72, 728?
You can find a detailed procedure to find GCD of 671, 230, 72, 728 on our page.
3. How to find GCD of 671, 230, 72, 728 on a calculator?
You can find the GCD of 671, 230, 72, 728 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.