GCD of 174, 663, 289, 756 Calculator

Given Input numbers are 174, 663, 289, 756

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

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 289

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

1, 17, 289

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Greatest Common Divisior

We found the divisors of 174, 663, 289, 756 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 174, 663, 289, 756 is 1.

Therefore, GCD of numbers 174, 663, 289, 756 is 1

Given Input Data is 174, 663, 289, 756

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

Prime Factorization of 174 is 2 x 3 x 29

Prime Factorization of 663 is 3 x 13 x 17

Prime Factorization of 289 is 17 x 17

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

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(174, 663) = 38454

GCD(174, 663) = ( 174 x 663 ) / 38454

GCD(174, 663) = 115362 / 38454

GCD(174, 663) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 289

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

LCM(3, 289) = 867

GCD(3, 289) = ( 3 x 289 ) / 867

GCD(3, 289) = 867 / 867

GCD(3, 289) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 756

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

LCM(1, 756) = 756

GCD(1, 756) = ( 1 x 756 ) / 756

GCD(1, 756) = 756 / 756

GCD(1, 756) = 1

GCD of 174, 663, 289, 756 is 1

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1. What is the GCD of 174, 663, 289, 756?

GCD of 174, 663, 289, 756 is 1

2. Where do I get the detailed procedure to find GCD of 174, 663, 289, 756?

You can find a detailed procedure to find GCD of 174, 663, 289, 756 on our page.

3. How to find GCD of 174, 663, 289, 756 on a calculator?

You can find the GCD of 174, 663, 289, 756 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.