GCD of 506, 658, 11, 583 Calculator

Given Input numbers are 506, 658, 11, 583

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

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

Divisors of 583

List of positive integer divisors of 583 that divides 583 without a remainder.

1, 11, 53, 583

Greatest Common Divisior

We found the divisors of 506, 658, 11, 583 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 506, 658, 11, 583 is 1.

Therefore, GCD of numbers 506, 658, 11, 583 is 1

Given Input Data is 506, 658, 11, 583

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

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 658 is 2 x 7 x 47

Prime Factorization of 11 is 11

Prime Factorization of 583 is 11 x 53

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(506, 658) = 166474

GCD(506, 658) = ( 506 x 658 ) / 166474

GCD(506, 658) = 332948 / 166474

GCD(506, 658) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 11

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

LCM(2, 11) = 22

GCD(2, 11) = ( 2 x 11 ) / 22

GCD(2, 11) = 22 / 22

GCD(2, 11) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 583

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

LCM(1, 583) = 583

GCD(1, 583) = ( 1 x 583 ) / 583

GCD(1, 583) = 583 / 583

GCD(1, 583) = 1

GCD of 506, 658, 11, 583 is 1

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• GCD of 870, 807, 26, 929
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• GCD of 544, 219, 90, 878

1. What is the GCD of 506, 658, 11, 583?

GCD of 506, 658, 11, 583 is 1

2. Where do I get the detailed procedure to find GCD of 506, 658, 11, 583?

You can find a detailed procedure to find GCD of 506, 658, 11, 583 on our page.

3. How to find GCD of 506, 658, 11, 583 on a calculator?

You can find the GCD of 506, 658, 11, 583 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.