GCD of 580, 216, 560 Calculator

Given Input numbers are 580, 216, 560

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

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

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

Greatest Common Divisior

We found the divisors of 580, 216, 560 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 580, 216, 560 is 4.

Therefore, GCD of numbers 580, 216, 560 is 4

Given Input Data is 580, 216, 560

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

Prime Factorization of 580 is 2 x 2 x 5 x 29

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

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

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(580, 216) = 31320

GCD(580, 216) = ( 580 x 216 ) / 31320

GCD(580, 216) = 125280 / 31320

GCD(580, 216) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 560

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

LCM(4, 560) = 560

GCD(4, 560) = ( 4 x 560 ) / 560

GCD(4, 560) = 2240 / 560

GCD(4, 560) = 4

GCD of 580, 216, 560 is 4

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1. What is the GCD of 580, 216, 560?

GCD of 580, 216, 560 is 4

2. Where do I get the detailed procedure to find GCD of 580, 216, 560?

You can find a detailed procedure to find GCD of 580, 216, 560 on our page.

3. How to find GCD of 580, 216, 560 on a calculator?

You can find the GCD of 580, 216, 560 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.