GCD of 540, 908, 18, 167 Calculator

Given Input numbers are 540, 908, 18, 167

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 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 167

List of positive integer divisors of 167 that divides 167 without a remainder.

1, 167

Greatest Common Divisior

We found the divisors of 540, 908, 18, 167 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 540, 908, 18, 167 is 1.

Therefore, GCD of numbers 540, 908, 18, 167 is 1

Given Input Data is 540, 908, 18, 167

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 908 is 2 x 2 x 227

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 167 is 167

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, 908) = 122580

GCD(540, 908) = ( 540 x 908 ) / 122580

GCD(540, 908) = 490320 / 122580

GCD(540, 908) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 18

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

LCM(4, 18) = 36

GCD(4, 18) = ( 4 x 18 ) / 36

GCD(4, 18) = 72 / 36

GCD(4, 18) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 167

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

LCM(2, 167) = 334

GCD(2, 167) = ( 2 x 167 ) / 334

GCD(2, 167) = 334 / 334

GCD(2, 167) = 1

GCD of 540, 908, 18, 167 is 1

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1. What is the GCD of 540, 908, 18, 167?

GCD of 540, 908, 18, 167 is 1

2. Where do I get the detailed procedure to find GCD of 540, 908, 18, 167?

You can find a detailed procedure to find GCD of 540, 908, 18, 167 on our page.

3. How to find GCD of 540, 908, 18, 167 on a calculator?

You can find the GCD of 540, 908, 18, 167 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.