GCD of 166, 400, 41, 318 Calculator

Given Input numbers are 166, 400, 41, 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 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

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, 400, 41, 318 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 166, 400, 41, 318 is 1.

Therefore, GCD of numbers 166, 400, 41, 318 is 1

Given Input Data is 166, 400, 41, 318

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

Prime Factorization of 166 is 2 x 83

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 41 is 41

Prime Factorization of 318 is 2 x 3 x 53

The above numbers do not have any common prime factor. So GCD is 1

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, 400) = 33200

GCD(166, 400) = ( 166 x 400 ) / 33200

GCD(166, 400) = 66400 / 33200

GCD(166, 400) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 41

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

LCM(2, 41) = 82

GCD(2, 41) = ( 2 x 41 ) / 82

GCD(2, 41) = 82 / 82

GCD(2, 41) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 318

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

LCM(1, 318) = 318

GCD(1, 318) = ( 1 x 318 ) / 318

GCD(1, 318) = 318 / 318

GCD(1, 318) = 1

GCD of 166, 400, 41, 318 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 787, 505, 29, 779
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• GCD of 135, 337, 54, 158
• GCD of 836, 159, 33, 778
• GCD of 835, 749, 95, 526

1. What is the GCD of 166, 400, 41, 318?

GCD of 166, 400, 41, 318 is 1

2. Where do I get the detailed procedure to find GCD of 166, 400, 41, 318?

You can find a detailed procedure to find GCD of 166, 400, 41, 318 on our page.

3. How to find GCD of 166, 400, 41, 318 on a calculator?

You can find the GCD of 166, 400, 41, 318 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.