GCD of 154, 459, 493, 368 Calculator

Given Input numbers are 154, 459, 493, 368

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

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Greatest Common Divisior

We found the divisors of 154, 459, 493, 368 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 154, 459, 493, 368 is 1.

Therefore, GCD of numbers 154, 459, 493, 368 is 1

Given Input Data is 154, 459, 493, 368

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

Prime Factorization of 154 is 2 x 7 x 11

Prime Factorization of 459 is 3 x 3 x 3 x 17

Prime Factorization of 493 is 17 x 29

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

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(154, 459) = 70686

GCD(154, 459) = ( 154 x 459 ) / 70686

GCD(154, 459) = 70686 / 70686

GCD(154, 459) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 493

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

LCM(1, 493) = 493

GCD(1, 493) = ( 1 x 493 ) / 493

GCD(1, 493) = 493 / 493

GCD(1, 493) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 368

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

LCM(1, 368) = 368

GCD(1, 368) = ( 1 x 368 ) / 368

GCD(1, 368) = 368 / 368

GCD(1, 368) = 1

GCD of 154, 459, 493, 368 is 1

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1. What is the GCD of 154, 459, 493, 368?

GCD of 154, 459, 493, 368 is 1

2. Where do I get the detailed procedure to find GCD of 154, 459, 493, 368?

You can find a detailed procedure to find GCD of 154, 459, 493, 368 on our page.

3. How to find GCD of 154, 459, 493, 368 on a calculator?

You can find the GCD of 154, 459, 493, 368 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.