GCD of 560, 340, 808 Calculator

Given Input numbers are 560, 340, 808

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

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Greatest Common Divisior

We found the divisors of 560, 340, 808 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 560, 340, 808 is 4.

Therefore, GCD of numbers 560, 340, 808 is 4

Given Input Data is 560, 340, 808

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

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 808 is 2 x 2 x 2 x 101

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(560, 340) = 9520

GCD(560, 340) = ( 560 x 340 ) / 9520

GCD(560, 340) = 190400 / 9520

GCD(560, 340) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 808

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

LCM(20, 808) = 4040

GCD(20, 808) = ( 20 x 808 ) / 4040

GCD(20, 808) = 16160 / 4040

GCD(20, 808) = 4

GCD of 560, 340, 808 is 4

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1. What is the GCD of 560, 340, 808?

GCD of 560, 340, 808 is 4

2. Where do I get the detailed procedure to find GCD of 560, 340, 808?

You can find a detailed procedure to find GCD of 560, 340, 808 on our page.

3. How to find GCD of 560, 340, 808 on a calculator?

You can find the GCD of 560, 340, 808 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.