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 487, 744, 230, 772 i.e. 1 largest integer that divides all the numbers equally.
GCD of 487, 744, 230, 772 is 1
GCD(487, 744, 230, 772) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 487, 744, 230, 772 is 1
GCD(487, 744, 230, 772) = 1
Given Input numbers are 487, 744, 230, 772
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 487
List of positive integer divisors of 487 that divides 487 without a remainder.
1, 487
Divisors of 744
List of positive integer divisors of 744 that divides 744 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
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 772
List of positive integer divisors of 772 that divides 772 without a remainder.
1, 2, 4, 193, 386, 772
Greatest Common Divisior
We found the divisors of 487, 744, 230, 772 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 487, 744, 230, 772 is 1.
Therefore, GCD of numbers 487, 744, 230, 772 is 1
Given Input Data is 487, 744, 230, 772
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 487 is 487
Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31
Prime Factorization of 230 is 2 x 5 x 23
Prime Factorization of 772 is 2 x 2 x 193
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(487, 744) = 362328
GCD(487, 744) = ( 487 x 744 ) / 362328
GCD(487, 744) = 362328 / 362328
GCD(487, 744) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 230
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 230) = 230
GCD(1, 230) = ( 1 x 230 ) / 230
GCD(1, 230) = 230 / 230
GCD(1, 230) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 772
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 772) = 772
GCD(1, 772) = ( 1 x 772 ) / 772
GCD(1, 772) = 772 / 772
GCD(1, 772) = 1
GCD of 487, 744, 230, 772 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 487, 744, 230, 772?
GCD of 487, 744, 230, 772 is 1
2. Where do I get the detailed procedure to find GCD of 487, 744, 230, 772?
You can find a detailed procedure to find GCD of 487, 744, 230, 772 on our page.
3. How to find GCD of 487, 744, 230, 772 on a calculator?
You can find the GCD of 487, 744, 230, 772 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.