GCD of 172, 558, 31, 412 Calculator

Given Input numbers are 172, 558, 31, 412

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

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Greatest Common Divisior

We found the divisors of 172, 558, 31, 412 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 172, 558, 31, 412 is 1.

Therefore, GCD of numbers 172, 558, 31, 412 is 1

Given Input Data is 172, 558, 31, 412

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

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 558 is 2 x 3 x 3 x 31

Prime Factorization of 31 is 31

Prime Factorization of 412 is 2 x 2 x 103

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(172, 558) = 47988

GCD(172, 558) = ( 172 x 558 ) / 47988

GCD(172, 558) = 95976 / 47988

GCD(172, 558) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 31

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

LCM(2, 31) = 62

GCD(2, 31) = ( 2 x 31 ) / 62

GCD(2, 31) = 62 / 62

GCD(2, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 412

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

LCM(1, 412) = 412

GCD(1, 412) = ( 1 x 412 ) / 412

GCD(1, 412) = 412 / 412

GCD(1, 412) = 1

GCD of 172, 558, 31, 412 is 1

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• GCD of 559, 379, 31, 607
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1. What is the GCD of 172, 558, 31, 412?

GCD of 172, 558, 31, 412 is 1

2. Where do I get the detailed procedure to find GCD of 172, 558, 31, 412?

You can find a detailed procedure to find GCD of 172, 558, 31, 412 on our page.

3. How to find GCD of 172, 558, 31, 412 on a calculator?

You can find the GCD of 172, 558, 31, 412 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.