GCD of 172, 442, 22, 659 Calculator

Given Input numbers are 172, 442, 22, 659

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 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Greatest Common Divisior

We found the divisors of 172, 442, 22, 659 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 172, 442, 22, 659 is 1.

Therefore, GCD of numbers 172, 442, 22, 659 is 1

Given Input Data is 172, 442, 22, 659

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 442 is 2 x 13 x 17

Prime Factorization of 22 is 2 x 11

Prime Factorization of 659 is 659

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, 442) = 38012

GCD(172, 442) = ( 172 x 442 ) / 38012

GCD(172, 442) = 76024 / 38012

GCD(172, 442) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 22

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

LCM(2, 22) = 22

GCD(2, 22) = ( 2 x 22 ) / 22

GCD(2, 22) = 44 / 22

GCD(2, 22) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 659

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

LCM(2, 659) = 1318

GCD(2, 659) = ( 2 x 659 ) / 1318

GCD(2, 659) = 1318 / 1318

GCD(2, 659) = 1

GCD of 172, 442, 22, 659 is 1

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1. What is the GCD of 172, 442, 22, 659?

GCD of 172, 442, 22, 659 is 1

2. Where do I get the detailed procedure to find GCD of 172, 442, 22, 659?

You can find a detailed procedure to find GCD of 172, 442, 22, 659 on our page.

3. How to find GCD of 172, 442, 22, 659 on a calculator?

You can find the GCD of 172, 442, 22, 659 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.