GCD of 459, 728, 87, 176 Calculator

Given Input numbers are 459, 728, 87, 176

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

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 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 176

List of positive integer divisors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Greatest Common Divisior

We found the divisors of 459, 728, 87, 176 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 459, 728, 87, 176 is 1.

Therefore, GCD of numbers 459, 728, 87, 176 is 1

Given Input Data is 459, 728, 87, 176

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

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

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 87 is 3 x 29

Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11

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(459, 728) = 334152

GCD(459, 728) = ( 459 x 728 ) / 334152

GCD(459, 728) = 334152 / 334152

GCD(459, 728) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 87

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

LCM(1, 87) = 87

GCD(1, 87) = ( 1 x 87 ) / 87

GCD(1, 87) = 87 / 87

GCD(1, 87) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 176

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

LCM(1, 176) = 176

GCD(1, 176) = ( 1 x 176 ) / 176

GCD(1, 176) = 176 / 176

GCD(1, 176) = 1

GCD of 459, 728, 87, 176 is 1

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1. What is the GCD of 459, 728, 87, 176?

GCD of 459, 728, 87, 176 is 1

2. Where do I get the detailed procedure to find GCD of 459, 728, 87, 176?

You can find a detailed procedure to find GCD of 459, 728, 87, 176 on our page.

3. How to find GCD of 459, 728, 87, 176 on a calculator?

You can find the GCD of 459, 728, 87, 176 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.