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 507, 824, 482, 230 i.e. 1 largest integer that divides all the numbers equally.
GCD of 507, 824, 482, 230 is 1
GCD(507, 824, 482, 230) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 507, 824, 482, 230 is 1
GCD(507, 824, 482, 230) = 1
Given Input numbers are 507, 824, 482, 230
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 507
List of positive integer divisors of 507 that divides 507 without a remainder.
1, 3, 13, 39, 169, 507
Divisors of 824
List of positive integer divisors of 824 that divides 824 without a remainder.
1, 2, 4, 8, 103, 206, 412, 824
Divisors of 482
List of positive integer divisors of 482 that divides 482 without a remainder.
1, 2, 241, 482
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 507, 824, 482, 230 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 507, 824, 482, 230 is 1.
Therefore, GCD of numbers 507, 824, 482, 230 is 1
Given Input Data is 507, 824, 482, 230
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 507 is 3 x 13 x 13
Prime Factorization of 824 is 2 x 2 x 2 x 103
Prime Factorization of 482 is 2 x 241
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(507, 824) = 417768
GCD(507, 824) = ( 507 x 824 ) / 417768
GCD(507, 824) = 417768 / 417768
GCD(507, 824) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 482
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 482) = 482
GCD(1, 482) = ( 1 x 482 ) / 482
GCD(1, 482) = 482 / 482
GCD(1, 482) = 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 507, 824, 482, 230 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 507, 824, 482, 230?
GCD of 507, 824, 482, 230 is 1
2. Where do I get the detailed procedure to find GCD of 507, 824, 482, 230?
You can find a detailed procedure to find GCD of 507, 824, 482, 230 on our page.
3. How to find GCD of 507, 824, 482, 230 on a calculator?
You can find the GCD of 507, 824, 482, 230 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.