GCD of 144, 684, 27, 457 Calculator

Given Input numbers are 144, 684, 27, 457

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

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Greatest Common Divisior

We found the divisors of 144, 684, 27, 457 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 144, 684, 27, 457 is 1.

Therefore, GCD of numbers 144, 684, 27, 457 is 1

Given Input Data is 144, 684, 27, 457

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

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 457 is 457

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(144, 684) = 2736

GCD(144, 684) = ( 144 x 684 ) / 2736

GCD(144, 684) = 98496 / 2736

GCD(144, 684) = 36

Step2:

Here we consider the GCD from the above i.e. 36 as first number and the next as 27

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

LCM(36, 27) = 108

GCD(36, 27) = ( 36 x 27 ) / 108

GCD(36, 27) = 972 / 108

GCD(36, 27) = 9

Step3:

Here we consider the GCD from the above i.e. 9 as first number and the next as 457

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

LCM(9, 457) = 4113

GCD(9, 457) = ( 9 x 457 ) / 4113

GCD(9, 457) = 4113 / 4113

GCD(9, 457) = 1

GCD of 144, 684, 27, 457 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 144, 744, 20, 698
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• GCD of 357, 731, 94, 384

1. What is the GCD of 144, 684, 27, 457?

GCD of 144, 684, 27, 457 is 1

2. Where do I get the detailed procedure to find GCD of 144, 684, 27, 457?

You can find a detailed procedure to find GCD of 144, 684, 27, 457 on our page.

3. How to find GCD of 144, 684, 27, 457 on a calculator?

You can find the GCD of 144, 684, 27, 457 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.