GCD of 537, 108, 285, 240 Calculator

Given Input numbers are 537, 108, 285, 240

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 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 285

List of positive integer divisors of 285 that divides 285 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Greatest Common Divisior

We found the divisors of 537, 108, 285, 240 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 537, 108, 285, 240 is 3.

Therefore, GCD of numbers 537, 108, 285, 240 is 3

Given Input Data is 537, 108, 285, 240

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

Prime Factorization of 537 is 3 x 179

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 285 is 3 x 5 x 19

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

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, 108) = 19332

GCD(537, 108) = ( 537 x 108 ) / 19332

GCD(537, 108) = 57996 / 19332

GCD(537, 108) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 285

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

LCM(3, 285) = 285

GCD(3, 285) = ( 3 x 285 ) / 285

GCD(3, 285) = 855 / 285

GCD(3, 285) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 240

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

LCM(3, 240) = 240

GCD(3, 240) = ( 3 x 240 ) / 240

GCD(3, 240) = 720 / 240

GCD(3, 240) = 3

GCD of 537, 108, 285, 240 is 3

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1. What is the GCD of 537, 108, 285, 240?

GCD of 537, 108, 285, 240 is 3

2. Where do I get the detailed procedure to find GCD of 537, 108, 285, 240?

You can find a detailed procedure to find GCD of 537, 108, 285, 240 on our page.

3. How to find GCD of 537, 108, 285, 240 on a calculator?

You can find the GCD of 537, 108, 285, 240 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.