GCD of 32, 800, 509, 552 Calculator

Given Input numbers are 32, 800, 509, 552

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

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Divisors of 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Greatest Common Divisior

We found the divisors of 32, 800, 509, 552 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 32, 800, 509, 552 is 1.

Therefore, GCD of numbers 32, 800, 509, 552 is 1

Given Input Data is 32, 800, 509, 552

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

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 509 is 509

Prime Factorization of 552 is 2 x 2 x 2 x 3 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(32, 800) = 800

GCD(32, 800) = ( 32 x 800 ) / 800

GCD(32, 800) = 25600 / 800

GCD(32, 800) = 32

Step2:

Here we consider the GCD from the above i.e. 32 as first number and the next as 509

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

LCM(32, 509) = 16288

GCD(32, 509) = ( 32 x 509 ) / 16288

GCD(32, 509) = 16288 / 16288

GCD(32, 509) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 552

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

LCM(1, 552) = 552

GCD(1, 552) = ( 1 x 552 ) / 552

GCD(1, 552) = 552 / 552

GCD(1, 552) = 1

GCD of 32, 800, 509, 552 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 72, 822, 794, 559
• GCD of 49, 847, 160, 177
• GCD of 57, 457, 810, 629
• GCD of 70, 697, 871, 696
• GCD of 30, 903, 141, 838

1. What is the GCD of 32, 800, 509, 552?

GCD of 32, 800, 509, 552 is 1

2. Where do I get the detailed procedure to find GCD of 32, 800, 509, 552?

You can find a detailed procedure to find GCD of 32, 800, 509, 552 on our page.

3. How to find GCD of 32, 800, 509, 552 on a calculator?

You can find the GCD of 32, 800, 509, 552 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.