GCD of 553, 368, 866, 506 Calculator

Given Input numbers are 553, 368, 866, 506

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

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 866

List of positive integer divisors of 866 that divides 866 without a remainder.

1, 2, 433, 866

Divisors of 506

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

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

Greatest Common Divisior

We found the divisors of 553, 368, 866, 506 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 553, 368, 866, 506 is 1.

Therefore, GCD of numbers 553, 368, 866, 506 is 1

Given Input Data is 553, 368, 866, 506

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

Prime Factorization of 553 is 7 x 79

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

Prime Factorization of 866 is 2 x 433

Prime Factorization of 506 is 2 x 11 x 23

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(553, 368) = 203504

GCD(553, 368) = ( 553 x 368 ) / 203504

GCD(553, 368) = 203504 / 203504

GCD(553, 368) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 866

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

LCM(1, 866) = 866

GCD(1, 866) = ( 1 x 866 ) / 866

GCD(1, 866) = 866 / 866

GCD(1, 866) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 506

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

LCM(1, 506) = 506

GCD(1, 506) = ( 1 x 506 ) / 506

GCD(1, 506) = 506 / 506

GCD(1, 506) = 1

GCD of 553, 368, 866, 506 is 1

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1. What is the GCD of 553, 368, 866, 506?

GCD of 553, 368, 866, 506 is 1

2. Where do I get the detailed procedure to find GCD of 553, 368, 866, 506?

You can find a detailed procedure to find GCD of 553, 368, 866, 506 on our page.

3. How to find GCD of 553, 368, 866, 506 on a calculator?

You can find the GCD of 553, 368, 866, 506 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.