GCD of 400, 171, 36, 330 Calculator

Given Input numbers are 400, 171, 36, 330

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

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 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Greatest Common Divisior

We found the divisors of 400, 171, 36, 330 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 400, 171, 36, 330 is 1.

Therefore, GCD of numbers 400, 171, 36, 330 is 1

Given Input Data is 400, 171, 36, 330

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

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

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 330 is 2 x 3 x 5 x 11

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(400, 171) = 68400

GCD(400, 171) = ( 400 x 171 ) / 68400

GCD(400, 171) = 68400 / 68400

GCD(400, 171) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 36

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

LCM(1, 36) = 36

GCD(1, 36) = ( 1 x 36 ) / 36

GCD(1, 36) = 36 / 36

GCD(1, 36) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 330

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

LCM(1, 330) = 330

GCD(1, 330) = ( 1 x 330 ) / 330

GCD(1, 330) = 330 / 330

GCD(1, 330) = 1

GCD of 400, 171, 36, 330 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 333, 173, 58, 232
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• GCD of 204, 892, 84, 367
• GCD of 934, 426, 78, 729
• GCD of 415, 894, 90, 991

1. What is the GCD of 400, 171, 36, 330?

GCD of 400, 171, 36, 330 is 1

2. Where do I get the detailed procedure to find GCD of 400, 171, 36, 330?

You can find a detailed procedure to find GCD of 400, 171, 36, 330 on our page.

3. How to find GCD of 400, 171, 36, 330 on a calculator?

You can find the GCD of 400, 171, 36, 330 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.