GCD of 506, 958, 77, 571 Calculator

Given Input numbers are 506, 958, 77, 571

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 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 571

List of positive integer divisors of 571 that divides 571 without a remainder.

1, 571

Greatest Common Divisior

We found the divisors of 506, 958, 77, 571 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 506, 958, 77, 571 is 1.

Therefore, GCD of numbers 506, 958, 77, 571 is 1

Given Input Data is 506, 958, 77, 571

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 958 is 2 x 479

Prime Factorization of 77 is 7 x 11

Prime Factorization of 571 is 571

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, 958) = 242374

GCD(506, 958) = ( 506 x 958 ) / 242374

GCD(506, 958) = 484748 / 242374

GCD(506, 958) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 77

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

LCM(2, 77) = 154

GCD(2, 77) = ( 2 x 77 ) / 154

GCD(2, 77) = 154 / 154

GCD(2, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 571

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

LCM(1, 571) = 571

GCD(1, 571) = ( 1 x 571 ) / 571

GCD(1, 571) = 571 / 571

GCD(1, 571) = 1

GCD of 506, 958, 77, 571 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 833, 402, 45, 760
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• GCD of 814, 445, 76, 872

1. What is the GCD of 506, 958, 77, 571?

GCD of 506, 958, 77, 571 is 1

2. Where do I get the detailed procedure to find GCD of 506, 958, 77, 571?

You can find a detailed procedure to find GCD of 506, 958, 77, 571 on our page.

3. How to find GCD of 506, 958, 77, 571 on a calculator?

You can find the GCD of 506, 958, 77, 571 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.