GCD of 664, 172, 314, 358 Calculator

Given Input numbers are 664, 172, 314, 358

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

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 172

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

1, 2, 4, 43, 86, 172

Divisors of 314

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

1, 2, 157, 314

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Greatest Common Divisior

We found the divisors of 664, 172, 314, 358 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 664, 172, 314, 358 is 2.

Therefore, GCD of numbers 664, 172, 314, 358 is 2

Given Input Data is 664, 172, 314, 358

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

Prime Factorization of 664 is 2 x 2 x 2 x 83

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 314 is 2 x 157

Prime Factorization of 358 is 2 x 179

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(664, 172) = 28552

GCD(664, 172) = ( 664 x 172 ) / 28552

GCD(664, 172) = 114208 / 28552

GCD(664, 172) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 314

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

LCM(4, 314) = 628

GCD(4, 314) = ( 4 x 314 ) / 628

GCD(4, 314) = 1256 / 628

GCD(4, 314) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 358

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

LCM(2, 358) = 358

GCD(2, 358) = ( 2 x 358 ) / 358

GCD(2, 358) = 716 / 358

GCD(2, 358) = 2

GCD of 664, 172, 314, 358 is 2

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1. What is the GCD of 664, 172, 314, 358?

GCD of 664, 172, 314, 358 is 2

2. Where do I get the detailed procedure to find GCD of 664, 172, 314, 358?

You can find a detailed procedure to find GCD of 664, 172, 314, 358 on our page.

3. How to find GCD of 664, 172, 314, 358 on a calculator?

You can find the GCD of 664, 172, 314, 358 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.