GCD of 174, 669, 22, 493 Calculator

Given Input numbers are 174, 669, 22, 493

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 669

List of positive integer divisors of 669 that divides 669 without a remainder.

1, 3, 223, 669

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Greatest Common Divisior

We found the divisors of 174, 669, 22, 493 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 174, 669, 22, 493 is 1.

Therefore, GCD of numbers 174, 669, 22, 493 is 1

Given Input Data is 174, 669, 22, 493

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 669 is 3 x 223

Prime Factorization of 22 is 2 x 11

Prime Factorization of 493 is 17 x 29

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, 669) = 38802

GCD(174, 669) = ( 174 x 669 ) / 38802

GCD(174, 669) = 116406 / 38802

GCD(174, 669) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 22

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

LCM(3, 22) = 66

GCD(3, 22) = ( 3 x 22 ) / 66

GCD(3, 22) = 66 / 66

GCD(3, 22) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 493

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

LCM(1, 493) = 493

GCD(1, 493) = ( 1 x 493 ) / 493

GCD(1, 493) = 493 / 493

GCD(1, 493) = 1

GCD of 174, 669, 22, 493 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 992, 185, 34, 385
• GCD of 339, 826, 23, 625
• GCD of 558, 219, 92, 484
• GCD of 609, 931, 43, 590
• GCD of 174, 809, 18, 783

1. What is the GCD of 174, 669, 22, 493?

GCD of 174, 669, 22, 493 is 1

2. Where do I get the detailed procedure to find GCD of 174, 669, 22, 493?

You can find a detailed procedure to find GCD of 174, 669, 22, 493 on our page.

3. How to find GCD of 174, 669, 22, 493 on a calculator?

You can find the GCD of 174, 669, 22, 493 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.