GCD of 486, 289, 177 Calculator

Given Input numbers are 486, 289, 177

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

Divisors of 486

List of positive integer divisors of 486 that divides 486 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 289

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

1, 17, 289

Divisors of 177

List of positive integer divisors of 177 that divides 177 without a remainder.

1, 3, 59, 177

Greatest Common Divisior

We found the divisors of 486, 289, 177 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 486, 289, 177 is 1.

Therefore, GCD of numbers 486, 289, 177 is 1

Given Input Data is 486, 289, 177

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

Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 289 is 17 x 17

Prime Factorization of 177 is 3 x 59

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(486, 289) = 140454

GCD(486, 289) = ( 486 x 289 ) / 140454

GCD(486, 289) = 140454 / 140454

GCD(486, 289) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 177

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

LCM(1, 177) = 177

GCD(1, 177) = ( 1 x 177 ) / 177

GCD(1, 177) = 177 / 177

GCD(1, 177) = 1

GCD of 486, 289, 177 is 1

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1. What is the GCD of 486, 289, 177?

GCD of 486, 289, 177 is 1

2. Where do I get the detailed procedure to find GCD of 486, 289, 177?

You can find a detailed procedure to find GCD of 486, 289, 177 on our page.

3. How to find GCD of 486, 289, 177 on a calculator?

You can find the GCD of 486, 289, 177 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.