GCD of 800, 562, 929 Calculator

Given Input numbers are 800, 562, 929

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 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

Divisors of 929

List of positive integer divisors of 929 that divides 929 without a remainder.

1, 929

Greatest Common Divisior

We found the divisors of 800, 562, 929 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 562, 929 is 1.

Therefore, GCD of numbers 800, 562, 929 is 1

Given Input Data is 800, 562, 929

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 562 is 2 x 281

Prime Factorization of 929 is 929

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, 562) = 224800

GCD(800, 562) = ( 800 x 562 ) / 224800

GCD(800, 562) = 449600 / 224800

GCD(800, 562) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 929

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

LCM(2, 929) = 1858

GCD(2, 929) = ( 2 x 929 ) / 1858

GCD(2, 929) = 1858 / 1858

GCD(2, 929) = 1

GCD of 800, 562, 929 is 1

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1. What is the GCD of 800, 562, 929?

GCD of 800, 562, 929 is 1

2. Where do I get the detailed procedure to find GCD of 800, 562, 929?

You can find a detailed procedure to find GCD of 800, 562, 929 on our page.

3. How to find GCD of 800, 562, 929 on a calculator?

You can find the GCD of 800, 562, 929 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.