GCD of 405, 578, 81, 672 Calculator

Given Input numbers are 405, 578, 81, 672

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 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Divisors of 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

Divisors of 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Greatest Common Divisior

We found the divisors of 405, 578, 81, 672 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 405, 578, 81, 672 is 1.

Therefore, GCD of numbers 405, 578, 81, 672 is 1

Given Input Data is 405, 578, 81, 672

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 578 is 2 x 17 x 17

Prime Factorization of 81 is 3 x 3 x 3 x 3

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 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(405, 578) = 234090

GCD(405, 578) = ( 405 x 578 ) / 234090

GCD(405, 578) = 234090 / 234090

GCD(405, 578) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 81

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

LCM(1, 81) = 81

GCD(1, 81) = ( 1 x 81 ) / 81

GCD(1, 81) = 81 / 81

GCD(1, 81) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 672

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

LCM(1, 672) = 672

GCD(1, 672) = ( 1 x 672 ) / 672

GCD(1, 672) = 672 / 672

GCD(1, 672) = 1

GCD of 405, 578, 81, 672 is 1

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1. What is the GCD of 405, 578, 81, 672?

GCD of 405, 578, 81, 672 is 1

2. Where do I get the detailed procedure to find GCD of 405, 578, 81, 672?

You can find a detailed procedure to find GCD of 405, 578, 81, 672 on our page.

3. How to find GCD of 405, 578, 81, 672 on a calculator?

You can find the GCD of 405, 578, 81, 672 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.