GCD of 800, 509, 56, 801 Calculator

Given Input numbers are 800, 509, 56, 801

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

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 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 801

List of positive integer divisors of 801 that divides 801 without a remainder.

1, 3, 9, 89, 267, 801

Greatest Common Divisior

We found the divisors of 800, 509, 56, 801 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 509, 56, 801 is 1.

Therefore, GCD of numbers 800, 509, 56, 801 is 1

Given Input Data is 800, 509, 56, 801

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

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 56 is 2 x 2 x 2 x 7

Prime Factorization of 801 is 3 x 3 x 89

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(800, 509) = 407200

GCD(800, 509) = ( 800 x 509 ) / 407200

GCD(800, 509) = 407200 / 407200

GCD(800, 509) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 56

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

LCM(1, 56) = 56

GCD(1, 56) = ( 1 x 56 ) / 56

GCD(1, 56) = 56 / 56

GCD(1, 56) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 801

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

LCM(1, 801) = 801

GCD(1, 801) = ( 1 x 801 ) / 801

GCD(1, 801) = 801 / 801

GCD(1, 801) = 1

GCD of 800, 509, 56, 801 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 605, 812, 94, 220
• GCD of 186, 680, 54, 254
• GCD of 454, 690, 66, 161
• GCD of 607, 416, 85, 954
• GCD of 403, 872, 58, 313

1. What is the GCD of 800, 509, 56, 801?

GCD of 800, 509, 56, 801 is 1

2. Where do I get the detailed procedure to find GCD of 800, 509, 56, 801?

You can find a detailed procedure to find GCD of 800, 509, 56, 801 on our page.

3. How to find GCD of 800, 509, 56, 801 on a calculator?

You can find the GCD of 800, 509, 56, 801 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.