GCD of 873, 272, 16, 537 Calculator

Given Input numbers are 873, 272, 16, 537

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

Divisors of 873

List of positive integer divisors of 873 that divides 873 without a remainder.

1, 3, 9, 97, 291, 873

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 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 537

List of positive integer divisors of 537 that divides 537 without a remainder.

1, 3, 179, 537

Greatest Common Divisior

We found the divisors of 873, 272, 16, 537 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 873, 272, 16, 537 is 1.

Therefore, GCD of numbers 873, 272, 16, 537 is 1

Given Input Data is 873, 272, 16, 537

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

Prime Factorization of 873 is 3 x 3 x 97

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

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 537 is 3 x 179

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(873, 272) = 237456

GCD(873, 272) = ( 873 x 272 ) / 237456

GCD(873, 272) = 237456 / 237456

GCD(873, 272) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 16

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

LCM(1, 16) = 16

GCD(1, 16) = ( 1 x 16 ) / 16

GCD(1, 16) = 16 / 16

GCD(1, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 537

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

LCM(1, 537) = 537

GCD(1, 537) = ( 1 x 537 ) / 537

GCD(1, 537) = 537 / 537

GCD(1, 537) = 1

GCD of 873, 272, 16, 537 is 1

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1. What is the GCD of 873, 272, 16, 537?

GCD of 873, 272, 16, 537 is 1

2. Where do I get the detailed procedure to find GCD of 873, 272, 16, 537?

You can find a detailed procedure to find GCD of 873, 272, 16, 537 on our page.

3. How to find GCD of 873, 272, 16, 537 on a calculator?

You can find the GCD of 873, 272, 16, 537 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.