GCD of 538, 423, 240 Calculator

Given Input numbers are 538, 423, 240

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

Divisors of 538

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

1, 2, 269, 538

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Greatest Common Divisior

We found the divisors of 538, 423, 240 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 538, 423, 240 is 1.

Therefore, GCD of numbers 538, 423, 240 is 1

Given Input Data is 538, 423, 240

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

Prime Factorization of 538 is 2 x 269

Prime Factorization of 423 is 3 x 3 x 47

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

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(538, 423) = 227574

GCD(538, 423) = ( 538 x 423 ) / 227574

GCD(538, 423) = 227574 / 227574

GCD(538, 423) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 240

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

LCM(1, 240) = 240

GCD(1, 240) = ( 1 x 240 ) / 240

GCD(1, 240) = 240 / 240

GCD(1, 240) = 1

GCD of 538, 423, 240 is 1

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1. What is the GCD of 538, 423, 240?

GCD of 538, 423, 240 is 1

2. Where do I get the detailed procedure to find GCD of 538, 423, 240?

You can find a detailed procedure to find GCD of 538, 423, 240 on our page.

3. How to find GCD of 538, 423, 240 on a calculator?

You can find the GCD of 538, 423, 240 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.