GCD of 24, 214, 822, 409 Calculator

Given Input numbers are 24, 214, 822, 409

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

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 822

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

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

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Greatest Common Divisior

We found the divisors of 24, 214, 822, 409 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 24, 214, 822, 409 is 1.

Therefore, GCD of numbers 24, 214, 822, 409 is 1

Given Input Data is 24, 214, 822, 409

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

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 214 is 2 x 107

Prime Factorization of 822 is 2 x 3 x 137

Prime Factorization of 409 is 409

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(24, 214) = 2568

GCD(24, 214) = ( 24 x 214 ) / 2568

GCD(24, 214) = 5136 / 2568

GCD(24, 214) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 822

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

LCM(2, 822) = 822

GCD(2, 822) = ( 2 x 822 ) / 822

GCD(2, 822) = 1644 / 822

GCD(2, 822) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 409

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

LCM(2, 409) = 818

GCD(2, 409) = ( 2 x 409 ) / 818

GCD(2, 409) = 818 / 818

GCD(2, 409) = 1

GCD of 24, 214, 822, 409 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 72, 187, 571, 569
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• GCD of 28, 879, 448, 644
• GCD of 79, 865, 230, 458
• GCD of 88, 179, 480, 347

1. What is the GCD of 24, 214, 822, 409?

GCD of 24, 214, 822, 409 is 1

2. Where do I get the detailed procedure to find GCD of 24, 214, 822, 409?

You can find a detailed procedure to find GCD of 24, 214, 822, 409 on our page.

3. How to find GCD of 24, 214, 822, 409 on a calculator?

You can find the GCD of 24, 214, 822, 409 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.