GCD of 172, 334, 30, 314 Calculator

Given Input numbers are 172, 334, 30, 314

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 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Greatest Common Divisior

We found the divisors of 172, 334, 30, 314 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 172, 334, 30, 314 is 2.

Therefore, GCD of numbers 172, 334, 30, 314 is 2

Given Input Data is 172, 334, 30, 314

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 334 is 2 x 167

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 314 is 2 x 157

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 334) = 28724

GCD(172, 334) = ( 172 x 334 ) / 28724

GCD(172, 334) = 57448 / 28724

GCD(172, 334) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 30

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

LCM(2, 30) = 30

GCD(2, 30) = ( 2 x 30 ) / 30

GCD(2, 30) = 60 / 30

GCD(2, 30) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 314

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

LCM(2, 314) = 314

GCD(2, 314) = ( 2 x 314 ) / 314

GCD(2, 314) = 628 / 314

GCD(2, 314) = 2

GCD of 172, 334, 30, 314 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 777, 706, 70, 147
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• GCD of 774, 165, 30, 405
• GCD of 364, 886, 86, 420

1. What is the GCD of 172, 334, 30, 314?

GCD of 172, 334, 30, 314 is 2

2. Where do I get the detailed procedure to find GCD of 172, 334, 30, 314?

You can find a detailed procedure to find GCD of 172, 334, 30, 314 on our page.

3. How to find GCD of 172, 334, 30, 314 on a calculator?

You can find the GCD of 172, 334, 30, 314 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.