GCD of 800, 710, 478, 568 Calculator

Given Input numbers are 800, 710, 478, 568

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 710

List of positive integer divisors of 710 that divides 710 without a remainder.

1, 2, 5, 10, 71, 142, 355, 710

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Divisors of 568

List of positive integer divisors of 568 that divides 568 without a remainder.

1, 2, 4, 8, 71, 142, 284, 568

Greatest Common Divisior

We found the divisors of 800, 710, 478, 568 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 710, 478, 568 is 2.

Therefore, GCD of numbers 800, 710, 478, 568 is 2

Given Input Data is 800, 710, 478, 568

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 710 is 2 x 5 x 71

Prime Factorization of 478 is 2 x 239

Prime Factorization of 568 is 2 x 2 x 2 x 71

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 710) = 56800

GCD(800, 710) = ( 800 x 710 ) / 56800

GCD(800, 710) = 568000 / 56800

GCD(800, 710) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 478

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

LCM(10, 478) = 2390

GCD(10, 478) = ( 10 x 478 ) / 2390

GCD(10, 478) = 4780 / 2390

GCD(10, 478) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 568

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

LCM(2, 568) = 568

GCD(2, 568) = ( 2 x 568 ) / 568

GCD(2, 568) = 1136 / 568

GCD(2, 568) = 2

GCD of 800, 710, 478, 568 is 2

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1. What is the GCD of 800, 710, 478, 568?

GCD of 800, 710, 478, 568 is 2

2. Where do I get the detailed procedure to find GCD of 800, 710, 478, 568?

You can find a detailed procedure to find GCD of 800, 710, 478, 568 on our page.

3. How to find GCD of 800, 710, 478, 568 on a calculator?

You can find the GCD of 800, 710, 478, 568 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.