GCD of 538, 272, 904 Calculator

Given Input numbers are 538, 272, 904

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 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Greatest Common Divisior

We found the divisors of 538, 272, 904 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 538, 272, 904 is 2.

Therefore, GCD of numbers 538, 272, 904 is 2

Given Input Data is 538, 272, 904

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

Prime Factorization of 538 is 2 x 269

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

Prime Factorization of 904 is 2 x 2 x 2 x 113

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(538, 272) = 73168

GCD(538, 272) = ( 538 x 272 ) / 73168

GCD(538, 272) = 146336 / 73168

GCD(538, 272) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 904

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

LCM(2, 904) = 904

GCD(2, 904) = ( 2 x 904 ) / 904

GCD(2, 904) = 1808 / 904

GCD(2, 904) = 2

GCD of 538, 272, 904 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 255, 359, 397
• GCD of 440, 561, 969
• GCD of 716, 155, 545
• GCD of 905, 197, 485
• GCD of 453, 203, 745

1. What is the GCD of 538, 272, 904?

GCD of 538, 272, 904 is 2

2. Where do I get the detailed procedure to find GCD of 538, 272, 904?

You can find a detailed procedure to find GCD of 538, 272, 904 on our page.

3. How to find GCD of 538, 272, 904 on a calculator?

You can find the GCD of 538, 272, 904 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.