GCD of 40, 393, 113, 171 Calculator

Given Input numbers are 40, 393, 113, 171

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

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 393

List of positive integer divisors of 393 that divides 393 without a remainder.

1, 3, 131, 393

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Divisors of 171

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

1, 3, 9, 19, 57, 171

Greatest Common Divisior

We found the divisors of 40, 393, 113, 171 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 393, 113, 171 is 1.

Therefore, GCD of numbers 40, 393, 113, 171 is 1

Given Input Data is 40, 393, 113, 171

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

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 393 is 3 x 131

Prime Factorization of 113 is 113

Prime Factorization of 171 is 3 x 3 x 19

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(40, 393) = 15720

GCD(40, 393) = ( 40 x 393 ) / 15720

GCD(40, 393) = 15720 / 15720

GCD(40, 393) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 113

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

LCM(1, 113) = 113

GCD(1, 113) = ( 1 x 113 ) / 113

GCD(1, 113) = 113 / 113

GCD(1, 113) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 171

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

LCM(1, 171) = 171

GCD(1, 171) = ( 1 x 171 ) / 171

GCD(1, 171) = 171 / 171

GCD(1, 171) = 1

GCD of 40, 393, 113, 171 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 10, 691, 333, 212
• GCD of 21, 428, 936, 530
• GCD of 49, 594, 789, 762
• GCD of 28, 344, 601, 911
• GCD of 42, 112, 513, 747

1. What is the GCD of 40, 393, 113, 171?

GCD of 40, 393, 113, 171 is 1

2. Where do I get the detailed procedure to find GCD of 40, 393, 113, 171?

You can find a detailed procedure to find GCD of 40, 393, 113, 171 on our page.

3. How to find GCD of 40, 393, 113, 171 on a calculator?

You can find the GCD of 40, 393, 113, 171 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.