GCD of 135, 546, 28, 128 Calculator

Given Input numbers are 135, 546, 28, 128

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

Divisors of 135

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

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

Divisors of 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 128

List of positive integer divisors of 128 that divides 128 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128

Greatest Common Divisior

We found the divisors of 135, 546, 28, 128 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 135, 546, 28, 128 is 1.

Therefore, GCD of numbers 135, 546, 28, 128 is 1

Given Input Data is 135, 546, 28, 128

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

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

Prime Factorization of 546 is 2 x 3 x 7 x 13

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2

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(135, 546) = 24570

GCD(135, 546) = ( 135 x 546 ) / 24570

GCD(135, 546) = 73710 / 24570

GCD(135, 546) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 28

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

LCM(3, 28) = 84

GCD(3, 28) = ( 3 x 28 ) / 84

GCD(3, 28) = 84 / 84

GCD(3, 28) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 128

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

LCM(1, 128) = 128

GCD(1, 128) = ( 1 x 128 ) / 128

GCD(1, 128) = 128 / 128

GCD(1, 128) = 1

GCD of 135, 546, 28, 128 is 1

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1. What is the GCD of 135, 546, 28, 128?

GCD of 135, 546, 28, 128 is 1

2. Where do I get the detailed procedure to find GCD of 135, 546, 28, 128?

You can find a detailed procedure to find GCD of 135, 546, 28, 128 on our page.

3. How to find GCD of 135, 546, 28, 128 on a calculator?

You can find the GCD of 135, 546, 28, 128 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.