GCD of 394, 170, 46, 584 Calculator

Given Input numbers are 394, 170, 46, 584

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

Divisors of 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Divisors of 170

List of positive integer divisors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Greatest Common Divisior

We found the divisors of 394, 170, 46, 584 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 394, 170, 46, 584 is 2.

Therefore, GCD of numbers 394, 170, 46, 584 is 2

Given Input Data is 394, 170, 46, 584

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

Prime Factorization of 394 is 2 x 197

Prime Factorization of 170 is 2 x 5 x 17

Prime Factorization of 46 is 2 x 23

Prime Factorization of 584 is 2 x 2 x 2 x 73

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(394, 170) = 33490

GCD(394, 170) = ( 394 x 170 ) / 33490

GCD(394, 170) = 66980 / 33490

GCD(394, 170) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 46

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

LCM(2, 46) = 46

GCD(2, 46) = ( 2 x 46 ) / 46

GCD(2, 46) = 92 / 46

GCD(2, 46) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 584

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

LCM(2, 584) = 584

GCD(2, 584) = ( 2 x 584 ) / 584

GCD(2, 584) = 1168 / 584

GCD(2, 584) = 2

GCD of 394, 170, 46, 584 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 479, 717, 90, 270
• GCD of 446, 218, 84, 406
• GCD of 611, 823, 67, 357
• GCD of 556, 426, 62, 368
• GCD of 893, 544, 27, 975

1. What is the GCD of 394, 170, 46, 584?

GCD of 394, 170, 46, 584 is 2

2. Where do I get the detailed procedure to find GCD of 394, 170, 46, 584?

You can find a detailed procedure to find GCD of 394, 170, 46, 584 on our page.

3. How to find GCD of 394, 170, 46, 584 on a calculator?

You can find the GCD of 394, 170, 46, 584 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.