GCD of 570, 338, 220 Calculator

Given Input numbers are 570, 338, 220

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

Divisors of 570

List of positive integer divisors of 570 that divides 570 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Greatest Common Divisior

We found the divisors of 570, 338, 220 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 570, 338, 220 is 2.

Therefore, GCD of numbers 570, 338, 220 is 2

Given Input Data is 570, 338, 220

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

Prime Factorization of 570 is 2 x 3 x 5 x 19

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 220 is 2 x 2 x 5 x 11

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(570, 338) = 96330

GCD(570, 338) = ( 570 x 338 ) / 96330

GCD(570, 338) = 192660 / 96330

GCD(570, 338) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 220

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

LCM(2, 220) = 220

GCD(2, 220) = ( 2 x 220 ) / 220

GCD(2, 220) = 440 / 220

GCD(2, 220) = 2

GCD of 570, 338, 220 is 2

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1. What is the GCD of 570, 338, 220?

GCD of 570, 338, 220 is 2

2. Where do I get the detailed procedure to find GCD of 570, 338, 220?

You can find a detailed procedure to find GCD of 570, 338, 220 on our page.

3. How to find GCD of 570, 338, 220 on a calculator?

You can find the GCD of 570, 338, 220 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.