GCD of 40, 522, 577, 231 Calculator

Given Input numbers are 40, 522, 577, 231

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 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 577

List of positive integer divisors of 577 that divides 577 without a remainder.

1, 577

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Greatest Common Divisior

We found the divisors of 40, 522, 577, 231 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 522, 577, 231 is 1.

Therefore, GCD of numbers 40, 522, 577, 231 is 1

Given Input Data is 40, 522, 577, 231

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 522 is 2 x 3 x 3 x 29

Prime Factorization of 577 is 577

Prime Factorization of 231 is 3 x 7 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(40, 522) = 10440

GCD(40, 522) = ( 40 x 522 ) / 10440

GCD(40, 522) = 20880 / 10440

GCD(40, 522) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 577

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

LCM(2, 577) = 1154

GCD(2, 577) = ( 2 x 577 ) / 1154

GCD(2, 577) = 1154 / 1154

GCD(2, 577) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 231

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

LCM(1, 231) = 231

GCD(1, 231) = ( 1 x 231 ) / 231

GCD(1, 231) = 231 / 231

GCD(1, 231) = 1

GCD of 40, 522, 577, 231 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 81, 684, 865, 120
• GCD of 36, 226, 211, 220
• GCD of 34, 692, 738, 414
• GCD of 18, 575, 954, 255
• GCD of 33, 519, 968, 248

1. What is the GCD of 40, 522, 577, 231?

GCD of 40, 522, 577, 231 is 1

2. Where do I get the detailed procedure to find GCD of 40, 522, 577, 231?

You can find a detailed procedure to find GCD of 40, 522, 577, 231 on our page.

3. How to find GCD of 40, 522, 577, 231 on a calculator?

You can find the GCD of 40, 522, 577, 231 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.