GCD of 397, 540, 142 Calculator

Given Input numbers are 397, 540, 142

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

Divisors of 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

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 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Greatest Common Divisior

We found the divisors of 397, 540, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 397, 540, 142 is 1.

Therefore, GCD of numbers 397, 540, 142 is 1

Given Input Data is 397, 540, 142

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

Prime Factorization of 397 is 397

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

Prime Factorization of 142 is 2 x 71

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(397, 540) = 214380

GCD(397, 540) = ( 397 x 540 ) / 214380

GCD(397, 540) = 214380 / 214380

GCD(397, 540) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 142

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

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

GCD(1, 142) = 142 / 142

GCD(1, 142) = 1

GCD of 397, 540, 142 is 1

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1. What is the GCD of 397, 540, 142?

GCD of 397, 540, 142 is 1

2. Where do I get the detailed procedure to find GCD of 397, 540, 142?

You can find a detailed procedure to find GCD of 397, 540, 142 on our page.

3. How to find GCD of 397, 540, 142 on a calculator?

You can find the GCD of 397, 540, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.