GCD of 174, 336, 469 Calculator

Given Input numbers are 174, 336, 469

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 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Greatest Common Divisior

We found the divisors of 174, 336, 469 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 174, 336, 469 is 1.

Therefore, GCD of numbers 174, 336, 469 is 1

Given Input Data is 174, 336, 469

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 336 is 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 469 is 7 x 67

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, 336) = 9744

GCD(174, 336) = ( 174 x 336 ) / 9744

GCD(174, 336) = 58464 / 9744

GCD(174, 336) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 469

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

LCM(6, 469) = 2814

GCD(6, 469) = ( 6 x 469 ) / 2814

GCD(6, 469) = 2814 / 2814

GCD(6, 469) = 1

GCD of 174, 336, 469 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 929, 300, 394
• GCD of 956, 884, 365
• GCD of 419, 582, 655
• GCD of 277, 112, 840
• GCD of 100, 386, 812

1. What is the GCD of 174, 336, 469?

GCD of 174, 336, 469 is 1

2. Where do I get the detailed procedure to find GCD of 174, 336, 469?

You can find a detailed procedure to find GCD of 174, 336, 469 on our page.

3. How to find GCD of 174, 336, 469 on a calculator?

You can find the GCD of 174, 336, 469 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.