GCD of 537, 189, 42, 717 Calculator

Given Input numbers are 537, 189, 42, 717

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

Divisors of 537

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

1, 3, 179, 537

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 717

List of positive integer divisors of 717 that divides 717 without a remainder.

1, 3, 239, 717

Greatest Common Divisior

We found the divisors of 537, 189, 42, 717 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 537, 189, 42, 717 is 3.

Therefore, GCD of numbers 537, 189, 42, 717 is 3

Given Input Data is 537, 189, 42, 717

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

Prime Factorization of 537 is 3 x 179

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 717 is 3 x 239

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(537, 189) = 33831

GCD(537, 189) = ( 537 x 189 ) / 33831

GCD(537, 189) = 101493 / 33831

GCD(537, 189) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 42

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

LCM(3, 42) = 42

GCD(3, 42) = ( 3 x 42 ) / 42

GCD(3, 42) = 126 / 42

GCD(3, 42) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 717

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

LCM(3, 717) = 717

GCD(3, 717) = ( 3 x 717 ) / 717

GCD(3, 717) = 2151 / 717

GCD(3, 717) = 3

GCD of 537, 189, 42, 717 is 3

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1. What is the GCD of 537, 189, 42, 717?

GCD of 537, 189, 42, 717 is 3

2. Where do I get the detailed procedure to find GCD of 537, 189, 42, 717?

You can find a detailed procedure to find GCD of 537, 189, 42, 717 on our page.

3. How to find GCD of 537, 189, 42, 717 on a calculator?

You can find the GCD of 537, 189, 42, 717 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.