GCD of 440, 120, 538, 443 Calculator

Given Input numbers are 440, 120, 538, 443

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 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 538

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

1, 2, 269, 538

Divisors of 443

List of positive integer divisors of 443 that divides 443 without a remainder.

1, 443

Greatest Common Divisior

We found the divisors of 440, 120, 538, 443 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 440, 120, 538, 443 is 1.

Therefore, GCD of numbers 440, 120, 538, 443 is 1

Given Input Data is 440, 120, 538, 443

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 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 538 is 2 x 269

Prime Factorization of 443 is 443

The above numbers do not have any common prime factor. So GCD is 1

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, 120) = 1320

GCD(440, 120) = ( 440 x 120 ) / 1320

GCD(440, 120) = 52800 / 1320

GCD(440, 120) = 40

Step2:

Here we consider the GCD from the above i.e. 40 as first number and the next as 538

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

LCM(40, 538) = 10760

GCD(40, 538) = ( 40 x 538 ) / 10760

GCD(40, 538) = 21520 / 10760

GCD(40, 538) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 443

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

LCM(2, 443) = 886

GCD(2, 443) = ( 2 x 443 ) / 886

GCD(2, 443) = 886 / 886

GCD(2, 443) = 1

GCD of 440, 120, 538, 443 is 1

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• GCD of 559, 471, 709, 251
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1. What is the GCD of 440, 120, 538, 443?

GCD of 440, 120, 538, 443 is 1

2. Where do I get the detailed procedure to find GCD of 440, 120, 538, 443?

You can find a detailed procedure to find GCD of 440, 120, 538, 443 on our page.

3. How to find GCD of 440, 120, 538, 443 on a calculator?

You can find the GCD of 440, 120, 538, 443 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.