GCD of 176, 549, 71, 289 Calculator

Given Input numbers are 176, 549, 71, 289

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

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

Divisors of 549

List of positive integer divisors of 549 that divides 549 without a remainder.

1, 3, 9, 61, 183, 549

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Greatest Common Divisior

We found the divisors of 176, 549, 71, 289 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 176, 549, 71, 289 is 1.

Therefore, GCD of numbers 176, 549, 71, 289 is 1

Given Input Data is 176, 549, 71, 289

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

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

Prime Factorization of 549 is 3 x 3 x 61

Prime Factorization of 71 is 71

Prime Factorization of 289 is 17 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(176, 549) = 96624

GCD(176, 549) = ( 176 x 549 ) / 96624

GCD(176, 549) = 96624 / 96624

GCD(176, 549) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 289

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

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

GCD(1, 289) = 289 / 289

GCD(1, 289) = 1

GCD of 176, 549, 71, 289 is 1

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1. What is the GCD of 176, 549, 71, 289?

GCD of 176, 549, 71, 289 is 1

2. Where do I get the detailed procedure to find GCD of 176, 549, 71, 289?

You can find a detailed procedure to find GCD of 176, 549, 71, 289 on our page.

3. How to find GCD of 176, 549, 71, 289 on a calculator?

You can find the GCD of 176, 549, 71, 289 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.