GCD of 506, 264, 797, 657 Calculator

Given Input numbers are 506, 264, 797, 657

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 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 797

List of positive integer divisors of 797 that divides 797 without a remainder.

1, 797

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Greatest Common Divisior

We found the divisors of 506, 264, 797, 657 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 506, 264, 797, 657 is 1.

Therefore, GCD of numbers 506, 264, 797, 657 is 1

Given Input Data is 506, 264, 797, 657

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 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 797 is 797

Prime Factorization of 657 is 3 x 3 x 73

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, 264) = 6072

GCD(506, 264) = ( 506 x 264 ) / 6072

GCD(506, 264) = 133584 / 6072

GCD(506, 264) = 22

Step2:

Here we consider the GCD from the above i.e. 22 as first number and the next as 797

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

LCM(22, 797) = 17534

GCD(22, 797) = ( 22 x 797 ) / 17534

GCD(22, 797) = 17534 / 17534

GCD(22, 797) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 657

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

LCM(1, 657) = 657

GCD(1, 657) = ( 1 x 657 ) / 657

GCD(1, 657) = 657 / 657

GCD(1, 657) = 1

GCD of 506, 264, 797, 657 is 1

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1. What is the GCD of 506, 264, 797, 657?

GCD of 506, 264, 797, 657 is 1

2. Where do I get the detailed procedure to find GCD of 506, 264, 797, 657?

You can find a detailed procedure to find GCD of 506, 264, 797, 657 on our page.

3. How to find GCD of 506, 264, 797, 657 on a calculator?

You can find the GCD of 506, 264, 797, 657 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.