GCD of 115, 540, 14 Calculator

Given Input numbers are 115, 540, 14

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

Divisors of 115

List of positive integer divisors of 115 that divides 115 without a remainder.

1, 5, 23, 115

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 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Greatest Common Divisior

We found the divisors of 115, 540, 14 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 115, 540, 14 is 1.

Therefore, GCD of numbers 115, 540, 14 is 1

Given Input Data is 115, 540, 14

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

Prime Factorization of 115 is 5 x 23

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

Prime Factorization of 14 is 2 x 7

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(115, 540) = 12420

GCD(115, 540) = ( 115 x 540 ) / 12420

GCD(115, 540) = 62100 / 12420

GCD(115, 540) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 14

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

LCM(5, 14) = 70

GCD(5, 14) = ( 5 x 14 ) / 70

GCD(5, 14) = 70 / 70

GCD(5, 14) = 1

GCD of 115, 540, 14 is 1

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1. What is the GCD of 115, 540, 14?

GCD of 115, 540, 14 is 1

2. Where do I get the detailed procedure to find GCD of 115, 540, 14?

You can find a detailed procedure to find GCD of 115, 540, 14 on our page.

3. How to find GCD of 115, 540, 14 on a calculator?

You can find the GCD of 115, 540, 14 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.