GCD of 174, 432, 169 Calculator

Given Input numbers are 174, 432, 169

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 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Greatest Common Divisior

We found the divisors of 174, 432, 169 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 174, 432, 169 is 1.

Therefore, GCD of numbers 174, 432, 169 is 1

Given Input Data is 174, 432, 169

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 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 169 is 13 x 13

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, 432) = 12528

GCD(174, 432) = ( 174 x 432 ) / 12528

GCD(174, 432) = 75168 / 12528

GCD(174, 432) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 169

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

LCM(6, 169) = 1014

GCD(6, 169) = ( 6 x 169 ) / 1014

GCD(6, 169) = 1014 / 1014

GCD(6, 169) = 1

GCD of 174, 432, 169 is 1

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1. What is the GCD of 174, 432, 169?

GCD of 174, 432, 169 is 1

2. Where do I get the detailed procedure to find GCD of 174, 432, 169?

You can find a detailed procedure to find GCD of 174, 432, 169 on our page.

3. How to find GCD of 174, 432, 169 on a calculator?

You can find the GCD of 174, 432, 169 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.