GCD of 586, 501, 48, 249 Calculator

Given Input numbers are 586, 501, 48, 249

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

Divisors of 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Greatest Common Divisior

We found the divisors of 586, 501, 48, 249 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 586, 501, 48, 249 is 1.

Therefore, GCD of numbers 586, 501, 48, 249 is 1

Given Input Data is 586, 501, 48, 249

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

Prime Factorization of 586 is 2 x 293

Prime Factorization of 501 is 3 x 167

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 249 is 3 x 83

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(586, 501) = 293586

GCD(586, 501) = ( 586 x 501 ) / 293586

GCD(586, 501) = 293586 / 293586

GCD(586, 501) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 48

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

LCM(1, 48) = 48

GCD(1, 48) = ( 1 x 48 ) / 48

GCD(1, 48) = 48 / 48

GCD(1, 48) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 249

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

LCM(1, 249) = 249

GCD(1, 249) = ( 1 x 249 ) / 249

GCD(1, 249) = 249 / 249

GCD(1, 249) = 1

GCD of 586, 501, 48, 249 is 1

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• GCD of 306, 429, 28, 559
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• GCD of 378, 346, 95, 784

1. What is the GCD of 586, 501, 48, 249?

GCD of 586, 501, 48, 249 is 1

2. Where do I get the detailed procedure to find GCD of 586, 501, 48, 249?

You can find a detailed procedure to find GCD of 586, 501, 48, 249 on our page.

3. How to find GCD of 586, 501, 48, 249 on a calculator?

You can find the GCD of 586, 501, 48, 249 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.