GCD of 166, 920, 318 Calculator

Given Input numbers are 166, 920, 318

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

Divisors of 166

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

1, 2, 83, 166

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Greatest Common Divisior

We found the divisors of 166, 920, 318 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 166, 920, 318 is 2.

Therefore, GCD of numbers 166, 920, 318 is 2

Given Input Data is 166, 920, 318

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

Prime Factorization of 166 is 2 x 83

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 318 is 2 x 3 x 53

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(166, 920) = 76360

GCD(166, 920) = ( 166 x 920 ) / 76360

GCD(166, 920) = 152720 / 76360

GCD(166, 920) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 318

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

LCM(2, 318) = 318

GCD(2, 318) = ( 2 x 318 ) / 318

GCD(2, 318) = 636 / 318

GCD(2, 318) = 2

GCD of 166, 920, 318 is 2

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1. What is the GCD of 166, 920, 318?

GCD of 166, 920, 318 is 2

2. Where do I get the detailed procedure to find GCD of 166, 920, 318?

You can find a detailed procedure to find GCD of 166, 920, 318 on our page.

3. How to find GCD of 166, 920, 318 on a calculator?

You can find the GCD of 166, 920, 318 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.