GCD of 152, 171, 16, 539 Calculator

Given Input numbers are 152, 171, 16, 539

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

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 16

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

1, 2, 4, 8, 16

Divisors of 539

List of positive integer divisors of 539 that divides 539 without a remainder.

1, 7, 11, 49, 77, 539

Greatest Common Divisior

We found the divisors of 152, 171, 16, 539 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 152, 171, 16, 539 is 1.

Therefore, GCD of numbers 152, 171, 16, 539 is 1

Given Input Data is 152, 171, 16, 539

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

Prime Factorization of 152 is 2 x 2 x 2 x 19

Prime Factorization of 171 is 3 x 3 x 19

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

Prime Factorization of 539 is 7 x 7 x 11

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(152, 171) = 1368

GCD(152, 171) = ( 152 x 171 ) / 1368

GCD(152, 171) = 25992 / 1368

GCD(152, 171) = 19

Step2:

Here we consider the GCD from the above i.e. 19 as first number and the next as 16

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

LCM(19, 16) = 304

GCD(19, 16) = ( 19 x 16 ) / 304

GCD(19, 16) = 304 / 304

GCD(19, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 539

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

LCM(1, 539) = 539

GCD(1, 539) = ( 1 x 539 ) / 539

GCD(1, 539) = 539 / 539

GCD(1, 539) = 1

GCD of 152, 171, 16, 539 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 120, 948, 56, 296
• GCD of 113, 314, 45, 800
• GCD of 100, 921, 73, 670
• GCD of 821, 755, 14, 723
• GCD of 990, 667, 82, 838

1. What is the GCD of 152, 171, 16, 539?

GCD of 152, 171, 16, 539 is 1

2. Where do I get the detailed procedure to find GCD of 152, 171, 16, 539?

You can find a detailed procedure to find GCD of 152, 171, 16, 539 on our page.

3. How to find GCD of 152, 171, 16, 539 on a calculator?

You can find the GCD of 152, 171, 16, 539 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.