GCD of 318, 411, 40, 529 Calculator

Given Input numbers are 318, 411, 40, 529

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

Divisors of 318

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

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

Divisors of 411

List of positive integer divisors of 411 that divides 411 without a remainder.

1, 3, 137, 411

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 529

List of positive integer divisors of 529 that divides 529 without a remainder.

1, 23, 529

Greatest Common Divisior

We found the divisors of 318, 411, 40, 529 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 318, 411, 40, 529 is 1.

Therefore, GCD of numbers 318, 411, 40, 529 is 1

Given Input Data is 318, 411, 40, 529

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

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 411 is 3 x 137

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

Prime Factorization of 529 is 23 x 23

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(318, 411) = 43566

GCD(318, 411) = ( 318 x 411 ) / 43566

GCD(318, 411) = 130698 / 43566

GCD(318, 411) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 40

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

LCM(3, 40) = 120

GCD(3, 40) = ( 3 x 40 ) / 120

GCD(3, 40) = 120 / 120

GCD(3, 40) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 529

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

LCM(1, 529) = 529

GCD(1, 529) = ( 1 x 529 ) / 529

GCD(1, 529) = 529 / 529

GCD(1, 529) = 1

GCD of 318, 411, 40, 529 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 598, 780, 21, 946
• GCD of 385, 728, 55, 868
• GCD of 791, 881, 36, 589
• GCD of 752, 850, 14, 680
• GCD of 629, 545, 12, 905

1. What is the GCD of 318, 411, 40, 529?

GCD of 318, 411, 40, 529 is 1

2. Where do I get the detailed procedure to find GCD of 318, 411, 40, 529?

You can find a detailed procedure to find GCD of 318, 411, 40, 529 on our page.

3. How to find GCD of 318, 411, 40, 529 on a calculator?

You can find the GCD of 318, 411, 40, 529 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.