GCD of 440, 570, 538, 370 Calculator

Given Input numbers are 440, 570, 538, 370

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

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

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 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Greatest Common Divisior

We found the divisors of 440, 570, 538, 370 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 440, 570, 538, 370 is 2.

Therefore, GCD of numbers 440, 570, 538, 370 is 2

Given Input Data is 440, 570, 538, 370

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

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

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

Prime Factorization of 538 is 2 x 269

Prime Factorization of 370 is 2 x 5 x 37

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(440, 570) = 25080

GCD(440, 570) = ( 440 x 570 ) / 25080

GCD(440, 570) = 250800 / 25080

GCD(440, 570) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 538

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

LCM(10, 538) = 2690

GCD(10, 538) = ( 10 x 538 ) / 2690

GCD(10, 538) = 5380 / 2690

GCD(10, 538) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 370

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

LCM(2, 370) = 370

GCD(2, 370) = ( 2 x 370 ) / 370

GCD(2, 370) = 740 / 370

GCD(2, 370) = 2

GCD of 440, 570, 538, 370 is 2

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1. What is the GCD of 440, 570, 538, 370?

GCD of 440, 570, 538, 370 is 2

2. Where do I get the detailed procedure to find GCD of 440, 570, 538, 370?

You can find a detailed procedure to find GCD of 440, 570, 538, 370 on our page.

3. How to find GCD of 440, 570, 538, 370 on a calculator?

You can find the GCD of 440, 570, 538, 370 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.