GCD of 386, 166, 48, 314 Calculator

Given Input numbers are 386, 166, 48, 314

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

Divisors of 386

List of positive integer divisors of 386 that divides 386 without a remainder.

1, 2, 193, 386

Divisors of 166

List of positive integer divisors of 166 that divides 166 without a remainder.

1, 2, 83, 166

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

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 386, 166, 48, 314 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 386, 166, 48, 314 is 2.

Therefore, GCD of numbers 386, 166, 48, 314 is 2

Given Input Data is 386, 166, 48, 314

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

Prime Factorization of 386 is 2 x 193

Prime Factorization of 166 is 2 x 83

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

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(386, 166) = 32038

GCD(386, 166) = ( 386 x 166 ) / 32038

GCD(386, 166) = 64076 / 32038

GCD(386, 166) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 48

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

LCM(2, 48) = 48

GCD(2, 48) = ( 2 x 48 ) / 48

GCD(2, 48) = 96 / 48

GCD(2, 48) = 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 386, 166, 48, 314 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 395, 481, 49, 245
• GCD of 741, 435, 94, 709
• GCD of 690, 158, 36, 913
• GCD of 180, 301, 33, 765
• GCD of 157, 111, 41, 106

1. What is the GCD of 386, 166, 48, 314?

GCD of 386, 166, 48, 314 is 2

2. Where do I get the detailed procedure to find GCD of 386, 166, 48, 314?

You can find a detailed procedure to find GCD of 386, 166, 48, 314 on our page.

3. How to find GCD of 386, 166, 48, 314 on a calculator?

You can find the GCD of 386, 166, 48, 314 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.