GCD of 478, 727, 40, 822 Calculator

Given Input numbers are 478, 727, 40, 822

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

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Divisors of 727

List of positive integer divisors of 727 that divides 727 without a remainder.

1, 727

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 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Greatest Common Divisior

We found the divisors of 478, 727, 40, 822 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 478, 727, 40, 822 is 1.

Therefore, GCD of numbers 478, 727, 40, 822 is 1

Given Input Data is 478, 727, 40, 822

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

Prime Factorization of 478 is 2 x 239

Prime Factorization of 727 is 727

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

Prime Factorization of 822 is 2 x 3 x 137

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(478, 727) = 347506

GCD(478, 727) = ( 478 x 727 ) / 347506

GCD(478, 727) = 347506 / 347506

GCD(478, 727) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 40

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

LCM(1, 40) = 40

GCD(1, 40) = ( 1 x 40 ) / 40

GCD(1, 40) = 40 / 40

GCD(1, 40) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 822

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

LCM(1, 822) = 822

GCD(1, 822) = ( 1 x 822 ) / 822

GCD(1, 822) = 822 / 822

GCD(1, 822) = 1

GCD of 478, 727, 40, 822 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 355, 920, 56, 322
• GCD of 230, 174, 38, 195
• GCD of 860, 453, 86, 601
• GCD of 752, 470, 91, 445
• GCD of 142, 293, 12, 453

1. What is the GCD of 478, 727, 40, 822?

GCD of 478, 727, 40, 822 is 1

2. Where do I get the detailed procedure to find GCD of 478, 727, 40, 822?

You can find a detailed procedure to find GCD of 478, 727, 40, 822 on our page.

3. How to find GCD of 478, 727, 40, 822 on a calculator?

You can find the GCD of 478, 727, 40, 822 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.