GCD of 405, 274, 162, 128 Calculator

Given Input numbers are 405, 274, 162, 128

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

Divisors of 405

List of positive integer divisors of 405 that divides 405 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

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 405, 274, 162, 128 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 405, 274, 162, 128 is 1.

Therefore, GCD of numbers 405, 274, 162, 128 is 1

Given Input Data is 405, 274, 162, 128

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

Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5

Prime Factorization of 274 is 2 x 137

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

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(405, 274) = 110970

GCD(405, 274) = ( 405 x 274 ) / 110970

GCD(405, 274) = 110970 / 110970

GCD(405, 274) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 162

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

LCM(1, 162) = 162

GCD(1, 162) = ( 1 x 162 ) / 162

GCD(1, 162) = 162 / 162

GCD(1, 162) = 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 405, 274, 162, 128 is 1

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1. What is the GCD of 405, 274, 162, 128?

GCD of 405, 274, 162, 128 is 1

2. Where do I get the detailed procedure to find GCD of 405, 274, 162, 128?

You can find a detailed procedure to find GCD of 405, 274, 162, 128 on our page.

3. How to find GCD of 405, 274, 162, 128 on a calculator?

You can find the GCD of 405, 274, 162, 128 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.