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 482, 600, 57, 489 i.e. 1 largest integer that divides all the numbers equally.
GCD of 482, 600, 57, 489 is 1
GCD(482, 600, 57, 489) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 482, 600, 57, 489 is 1
GCD(482, 600, 57, 489) = 1
Given Input numbers are 482, 600, 57, 489
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 482
List of positive integer divisors of 482 that divides 482 without a remainder.
1, 2, 241, 482
Divisors of 600
List of positive integer divisors of 600 that divides 600 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 57
List of positive integer divisors of 57 that divides 57 without a remainder.
1, 3, 19, 57
Divisors of 489
List of positive integer divisors of 489 that divides 489 without a remainder.
1, 3, 163, 489
Greatest Common Divisior
We found the divisors of 482, 600, 57, 489 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 482, 600, 57, 489 is 1.
Therefore, GCD of numbers 482, 600, 57, 489 is 1
Given Input Data is 482, 600, 57, 489
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 482 is 2 x 241
Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5
Prime Factorization of 57 is 3 x 19
Prime Factorization of 489 is 3 x 163
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(482, 600) = 144600
GCD(482, 600) = ( 482 x 600 ) / 144600
GCD(482, 600) = 289200 / 144600
GCD(482, 600) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 57
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 57) = 114
GCD(2, 57) = ( 2 x 57 ) / 114
GCD(2, 57) = 114 / 114
GCD(2, 57) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 489
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 489) = 489
GCD(1, 489) = ( 1 x 489 ) / 489
GCD(1, 489) = 489 / 489
GCD(1, 489) = 1
GCD of 482, 600, 57, 489 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 482, 600, 57, 489?
GCD of 482, 600, 57, 489 is 1
2. Where do I get the detailed procedure to find GCD of 482, 600, 57, 489?
You can find a detailed procedure to find GCD of 482, 600, 57, 489 on our page.
3. How to find GCD of 482, 600, 57, 489 on a calculator?
You can find the GCD of 482, 600, 57, 489 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.