GCD of 540, 197, 395, 172 Calculator

Given Input numbers are 540, 197, 395, 172

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

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 197

List of positive integer divisors of 197 that divides 197 without a remainder.

1, 197

Divisors of 395

List of positive integer divisors of 395 that divides 395 without a remainder.

1, 5, 79, 395

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Greatest Common Divisior

We found the divisors of 540, 197, 395, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 540, 197, 395, 172 is 1.

Therefore, GCD of numbers 540, 197, 395, 172 is 1

Given Input Data is 540, 197, 395, 172

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

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

Prime Factorization of 197 is 197

Prime Factorization of 395 is 5 x 79

Prime Factorization of 172 is 2 x 2 x 43

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(540, 197) = 106380

GCD(540, 197) = ( 540 x 197 ) / 106380

GCD(540, 197) = 106380 / 106380

GCD(540, 197) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 395

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

LCM(1, 395) = 395

GCD(1, 395) = ( 1 x 395 ) / 395

GCD(1, 395) = 395 / 395

GCD(1, 395) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 172

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

LCM(1, 172) = 172

GCD(1, 172) = ( 1 x 172 ) / 172

GCD(1, 172) = 172 / 172

GCD(1, 172) = 1

GCD of 540, 197, 395, 172 is 1

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1. What is the GCD of 540, 197, 395, 172?

GCD of 540, 197, 395, 172 is 1

2. Where do I get the detailed procedure to find GCD of 540, 197, 395, 172?

You can find a detailed procedure to find GCD of 540, 197, 395, 172 on our page.

3. How to find GCD of 540, 197, 395, 172 on a calculator?

You can find the GCD of 540, 197, 395, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.