GCD of 898, 508, 56, 585 Calculator

Given Input numbers are 898, 508, 56, 585

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

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

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 898, 508, 56, 585 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 898, 508, 56, 585 is 1.

Therefore, GCD of numbers 898, 508, 56, 585 is 1

Given Input Data is 898, 508, 56, 585

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

Prime Factorization of 898 is 2 x 449

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 56 is 2 x 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(898, 508) = 228092

GCD(898, 508) = ( 898 x 508 ) / 228092

GCD(898, 508) = 456184 / 228092

GCD(898, 508) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 56

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

LCM(2, 56) = 56

GCD(2, 56) = ( 2 x 56 ) / 56

GCD(2, 56) = 112 / 56

GCD(2, 56) = 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 898, 508, 56, 585 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 986, 528, 16, 222
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• GCD of 308, 357, 96, 376

1. What is the GCD of 898, 508, 56, 585?

GCD of 898, 508, 56, 585 is 1

2. Where do I get the detailed procedure to find GCD of 898, 508, 56, 585?

You can find a detailed procedure to find GCD of 898, 508, 56, 585 on our page.

3. How to find GCD of 898, 508, 56, 585 on a calculator?

You can find the GCD of 898, 508, 56, 585 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.