GCD of 179, 738, 471, 459 Calculator

Given Input numbers are 179, 738, 471, 459

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

Divisors of 179

List of positive integer divisors of 179 that divides 179 without a remainder.

1, 179

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Divisors of 459

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

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

Greatest Common Divisior

We found the divisors of 179, 738, 471, 459 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 179, 738, 471, 459 is 1.

Therefore, GCD of numbers 179, 738, 471, 459 is 1

Given Input Data is 179, 738, 471, 459

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

Prime Factorization of 179 is 179

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 471 is 3 x 157

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

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(179, 738) = 132102

GCD(179, 738) = ( 179 x 738 ) / 132102

GCD(179, 738) = 132102 / 132102

GCD(179, 738) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 471

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

LCM(1, 471) = 471

GCD(1, 471) = ( 1 x 471 ) / 471

GCD(1, 471) = 471 / 471

GCD(1, 471) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 459

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

LCM(1, 459) = 459

GCD(1, 459) = ( 1 x 459 ) / 459

GCD(1, 459) = 459 / 459

GCD(1, 459) = 1

GCD of 179, 738, 471, 459 is 1

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1. What is the GCD of 179, 738, 471, 459?

GCD of 179, 738, 471, 459 is 1

2. Where do I get the detailed procedure to find GCD of 179, 738, 471, 459?

You can find a detailed procedure to find GCD of 179, 738, 471, 459 on our page.

3. How to find GCD of 179, 738, 471, 459 on a calculator?

You can find the GCD of 179, 738, 471, 459 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.