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 782, 488, 47, 230 i.e. 1 largest integer that divides all the numbers equally.
GCD of 782, 488, 47, 230 is 1
GCD(782, 488, 47, 230) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 782, 488, 47, 230 is 1
GCD(782, 488, 47, 230) = 1
Given Input numbers are 782, 488, 47, 230
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 782
List of positive integer divisors of 782 that divides 782 without a remainder.
1, 2, 17, 23, 34, 46, 391, 782
Divisors of 488
List of positive integer divisors of 488 that divides 488 without a remainder.
1, 2, 4, 8, 61, 122, 244, 488
Divisors of 47
List of positive integer divisors of 47 that divides 47 without a remainder.
1, 47
Divisors of 230
List of positive integer divisors of 230 that divides 230 without a remainder.
1, 2, 5, 10, 23, 46, 115, 230
Greatest Common Divisior
We found the divisors of 782, 488, 47, 230 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 782, 488, 47, 230 is 1.
Therefore, GCD of numbers 782, 488, 47, 230 is 1
Given Input Data is 782, 488, 47, 230
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 782 is 2 x 17 x 23
Prime Factorization of 488 is 2 x 2 x 2 x 61
Prime Factorization of 47 is 47
Prime Factorization of 230 is 2 x 5 x 23
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(782, 488) = 190808
GCD(782, 488) = ( 782 x 488 ) / 190808
GCD(782, 488) = 381616 / 190808
GCD(782, 488) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 47
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 47) = 94
GCD(2, 47) = ( 2 x 47 ) / 94
GCD(2, 47) = 94 / 94
GCD(2, 47) = 1
Step3:
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
GCD of 782, 488, 47, 230 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 782, 488, 47, 230?
GCD of 782, 488, 47, 230 is 1
2. Where do I get the detailed procedure to find GCD of 782, 488, 47, 230?
You can find a detailed procedure to find GCD of 782, 488, 47, 230 on our page.
3. How to find GCD of 782, 488, 47, 230 on a calculator?
You can find the GCD of 782, 488, 47, 230 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.