GCD of 171, 317, 142, 411 Calculator

Given Input numbers are 171, 317, 142, 411

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

Divisors of 171

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

1, 3, 9, 19, 57, 171

Divisors of 317

List of positive integer divisors of 317 that divides 317 without a remainder.

1, 317

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 411

List of positive integer divisors of 411 that divides 411 without a remainder.

1, 3, 137, 411

Greatest Common Divisior

We found the divisors of 171, 317, 142, 411 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 171, 317, 142, 411 is 1.

Therefore, GCD of numbers 171, 317, 142, 411 is 1

Given Input Data is 171, 317, 142, 411

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

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 317 is 317

Prime Factorization of 142 is 2 x 71

Prime Factorization of 411 is 3 x 137

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(171, 317) = 54207

GCD(171, 317) = ( 171 x 317 ) / 54207

GCD(171, 317) = 54207 / 54207

GCD(171, 317) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 142

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

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

GCD(1, 142) = 142 / 142

GCD(1, 142) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 411

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

LCM(1, 411) = 411

GCD(1, 411) = ( 1 x 411 ) / 411

GCD(1, 411) = 411 / 411

GCD(1, 411) = 1

GCD of 171, 317, 142, 411 is 1

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1. What is the GCD of 171, 317, 142, 411?

GCD of 171, 317, 142, 411 is 1

2. Where do I get the detailed procedure to find GCD of 171, 317, 142, 411?

You can find a detailed procedure to find GCD of 171, 317, 142, 411 on our page.

3. How to find GCD of 171, 317, 142, 411 on a calculator?

You can find the GCD of 171, 317, 142, 411 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.