GCD of 538, 577, 318, 288 Calculator

Given Input numbers are 538, 577, 318, 288

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 577

List of positive integer divisors of 577 that divides 577 without a remainder.

1, 577

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Greatest Common Divisior

We found the divisors of 538, 577, 318, 288 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 538, 577, 318, 288 is 1.

Therefore, GCD of numbers 538, 577, 318, 288 is 1

Given Input Data is 538, 577, 318, 288

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

Prime Factorization of 538 is 2 x 269

Prime Factorization of 577 is 577

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

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, 577) = 310426

GCD(538, 577) = ( 538 x 577 ) / 310426

GCD(538, 577) = 310426 / 310426

GCD(538, 577) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 318

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

LCM(1, 318) = 318

GCD(1, 318) = ( 1 x 318 ) / 318

GCD(1, 318) = 318 / 318

GCD(1, 318) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 288

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

LCM(1, 288) = 288

GCD(1, 288) = ( 1 x 288 ) / 288

GCD(1, 288) = 288 / 288

GCD(1, 288) = 1

GCD of 538, 577, 318, 288 is 1

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1. What is the GCD of 538, 577, 318, 288?

GCD of 538, 577, 318, 288 is 1

2. Where do I get the detailed procedure to find GCD of 538, 577, 318, 288?

You can find a detailed procedure to find GCD of 538, 577, 318, 288 on our page.

3. How to find GCD of 538, 577, 318, 288 on a calculator?

You can find the GCD of 538, 577, 318, 288 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.