GCD of 486, 148, 28, 585 Calculator

Given Input numbers are 486, 148, 28, 585

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

Divisors of 486

List of positive integer divisors of 486 that divides 486 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Greatest Common Divisior

We found the divisors of 486, 148, 28, 585 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 486, 148, 28, 585 is 1.

Therefore, GCD of numbers 486, 148, 28, 585 is 1

Given Input Data is 486, 148, 28, 585

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

Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 585 is 3 x 3 x 5 x 13

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(486, 148) = 35964

GCD(486, 148) = ( 486 x 148 ) / 35964

GCD(486, 148) = 71928 / 35964

GCD(486, 148) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 28

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

LCM(2, 28) = 28

GCD(2, 28) = ( 2 x 28 ) / 28

GCD(2, 28) = 56 / 28

GCD(2, 28) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 585

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

LCM(2, 585) = 1170

GCD(2, 585) = ( 2 x 585 ) / 1170

GCD(2, 585) = 1170 / 1170

GCD(2, 585) = 1

GCD of 486, 148, 28, 585 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 158, 184, 82, 131
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• GCD of 359, 861, 12, 766

1. What is the GCD of 486, 148, 28, 585?

GCD of 486, 148, 28, 585 is 1

2. Where do I get the detailed procedure to find GCD of 486, 148, 28, 585?

You can find a detailed procedure to find GCD of 486, 148, 28, 585 on our page.

3. How to find GCD of 486, 148, 28, 585 on a calculator?

You can find the GCD of 486, 148, 28, 585 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.