GCD of 424, 392, 171 Calculator

Given Input numbers are 424, 392, 171

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

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Greatest Common Divisior

We found the divisors of 424, 392, 171 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 424, 392, 171 is 1.

Therefore, GCD of numbers 424, 392, 171 is 1

Given Input Data is 424, 392, 171

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

Prime Factorization of 424 is 2 x 2 x 2 x 53

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 171 is 3 x 3 x 19

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(424, 392) = 20776

GCD(424, 392) = ( 424 x 392 ) / 20776

GCD(424, 392) = 166208 / 20776

GCD(424, 392) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 171

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

LCM(8, 171) = 1368

GCD(8, 171) = ( 8 x 171 ) / 1368

GCD(8, 171) = 1368 / 1368

GCD(8, 171) = 1

GCD of 424, 392, 171 is 1

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1. What is the GCD of 424, 392, 171?

GCD of 424, 392, 171 is 1

2. Where do I get the detailed procedure to find GCD of 424, 392, 171?

You can find a detailed procedure to find GCD of 424, 392, 171 on our page.

3. How to find GCD of 424, 392, 171 on a calculator?

You can find the GCD of 424, 392, 171 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.