GCD of 553, 928, 664, 463 Calculator

Given Input numbers are 553, 928, 664, 463

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 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 463

List of positive integer divisors of 463 that divides 463 without a remainder.

1, 463

Greatest Common Divisior

We found the divisors of 553, 928, 664, 463 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 553, 928, 664, 463 is 1.

Therefore, GCD of numbers 553, 928, 664, 463 is 1

Given Input Data is 553, 928, 664, 463

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

Prime Factorization of 553 is 7 x 79

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

Prime Factorization of 664 is 2 x 2 x 2 x 83

Prime Factorization of 463 is 463

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, 928) = 513184

GCD(553, 928) = ( 553 x 928 ) / 513184

GCD(553, 928) = 513184 / 513184

GCD(553, 928) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 664

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

LCM(1, 664) = 664

GCD(1, 664) = ( 1 x 664 ) / 664

GCD(1, 664) = 664 / 664

GCD(1, 664) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 463

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

LCM(1, 463) = 463

GCD(1, 463) = ( 1 x 463 ) / 463

GCD(1, 463) = 463 / 463

GCD(1, 463) = 1

GCD of 553, 928, 664, 463 is 1

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1. What is the GCD of 553, 928, 664, 463?

GCD of 553, 928, 664, 463 is 1

2. Where do I get the detailed procedure to find GCD of 553, 928, 664, 463?

You can find a detailed procedure to find GCD of 553, 928, 664, 463 on our page.

3. How to find GCD of 553, 928, 664, 463 on a calculator?

You can find the GCD of 553, 928, 664, 463 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.