GCD of 664, 558, 34, 294 Calculator

Given Input numbers are 664, 558, 34, 294

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 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 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Greatest Common Divisior

We found the divisors of 664, 558, 34, 294 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 664, 558, 34, 294 is 2.

Therefore, GCD of numbers 664, 558, 34, 294 is 2

Given Input Data is 664, 558, 34, 294

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 558 is 2 x 3 x 3 x 31

Prime Factorization of 34 is 2 x 17

Prime Factorization of 294 is 2 x 3 x 7 x 7

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, 558) = 185256

GCD(664, 558) = ( 664 x 558 ) / 185256

GCD(664, 558) = 370512 / 185256

GCD(664, 558) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 34

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

LCM(2, 34) = 34

GCD(2, 34) = ( 2 x 34 ) / 34

GCD(2, 34) = 68 / 34

GCD(2, 34) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 294

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

LCM(2, 294) = 294

GCD(2, 294) = ( 2 x 294 ) / 294

GCD(2, 294) = 588 / 294

GCD(2, 294) = 2

GCD of 664, 558, 34, 294 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 758, 620, 75, 997
• GCD of 176, 170, 39, 600
• GCD of 554, 289, 13, 454
• GCD of 292, 202, 89, 934
• GCD of 127, 161, 87, 657

1. What is the GCD of 664, 558, 34, 294?

GCD of 664, 558, 34, 294 is 2

2. Where do I get the detailed procedure to find GCD of 664, 558, 34, 294?

You can find a detailed procedure to find GCD of 664, 558, 34, 294 on our page.

3. How to find GCD of 664, 558, 34, 294 on a calculator?

You can find the GCD of 664, 558, 34, 294 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.