GCD of 540, 936, 490, 135 Calculator

Given Input numbers are 540, 936, 490, 135

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 936

List of positive integer divisors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Greatest Common Divisior

We found the divisors of 540, 936, 490, 135 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 540, 936, 490, 135 is 1.

Therefore, GCD of numbers 540, 936, 490, 135 is 1

Given Input Data is 540, 936, 490, 135

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 936 is 2 x 2 x 2 x 3 x 3 x 13

Prime Factorization of 490 is 2 x 5 x 7 x 7

Prime Factorization of 135 is 3 x 3 x 3 x 5

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, 936) = 14040

GCD(540, 936) = ( 540 x 936 ) / 14040

GCD(540, 936) = 505440 / 14040

GCD(540, 936) = 36

Step2:

Here we consider the GCD from the above i.e. 36 as first number and the next as 490

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

LCM(36, 490) = 8820

GCD(36, 490) = ( 36 x 490 ) / 8820

GCD(36, 490) = 17640 / 8820

GCD(36, 490) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 135

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

LCM(2, 135) = 270

GCD(2, 135) = ( 2 x 135 ) / 270

GCD(2, 135) = 270 / 270

GCD(2, 135) = 1

GCD of 540, 936, 490, 135 is 1

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1. What is the GCD of 540, 936, 490, 135?

GCD of 540, 936, 490, 135 is 1

2. Where do I get the detailed procedure to find GCD of 540, 936, 490, 135?

You can find a detailed procedure to find GCD of 540, 936, 490, 135 on our page.

3. How to find GCD of 540, 936, 490, 135 on a calculator?

You can find the GCD of 540, 936, 490, 135 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.