GCD of 489, 296, 582, 275 Calculator

Given Input numbers are 489, 296, 582, 275

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 489

List of positive integer divisors of 489 that divides 489 without a remainder.

1, 3, 163, 489

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 582

List of positive integer divisors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 275

List of positive integer divisors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

Greatest Common Divisior

We found the divisors of 489, 296, 582, 275 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 489, 296, 582, 275 is 1.

Therefore, GCD of numbers 489, 296, 582, 275 is 1

Given Input Data is 489, 296, 582, 275

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 489 is 3 x 163

Prime Factorization of 296 is 2 x 2 x 2 x 37

Prime Factorization of 582 is 2 x 3 x 97

Prime Factorization of 275 is 5 x 5 x 11

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(489, 296) = 144744

GCD(489, 296) = ( 489 x 296 ) / 144744

GCD(489, 296) = 144744 / 144744

GCD(489, 296) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 582

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 582) = 582

GCD(1, 582) = ( 1 x 582 ) / 582

GCD(1, 582) = 582 / 582

GCD(1, 582) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 275

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 275) = 275

GCD(1, 275) = ( 1 x 275 ) / 275

GCD(1, 275) = 275 / 275

GCD(1, 275) = 1

GCD of 489, 296, 582, 275 is 1

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1. What is the GCD of 489, 296, 582, 275?

GCD of 489, 296, 582, 275 is 1

2. Where do I get the detailed procedure to find GCD of 489, 296, 582, 275?

You can find a detailed procedure to find GCD of 489, 296, 582, 275 on our page.

3. How to find GCD of 489, 296, 582, 275 on a calculator?

You can find the GCD of 489, 296, 582, 275 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.