GCD of 471, 684, 19, 412 Calculator

Given Input numbers are 471, 684, 19, 412

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

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Greatest Common Divisior

We found the divisors of 471, 684, 19, 412 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 471, 684, 19, 412 is 1.

Therefore, GCD of numbers 471, 684, 19, 412 is 1

Given Input Data is 471, 684, 19, 412

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

Prime Factorization of 471 is 3 x 157

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 19 is 19

Prime Factorization of 412 is 2 x 2 x 103

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(471, 684) = 107388

GCD(471, 684) = ( 471 x 684 ) / 107388

GCD(471, 684) = 322164 / 107388

GCD(471, 684) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 19

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

LCM(3, 19) = 57

GCD(3, 19) = ( 3 x 19 ) / 57

GCD(3, 19) = 57 / 57

GCD(3, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 412

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

LCM(1, 412) = 412

GCD(1, 412) = ( 1 x 412 ) / 412

GCD(1, 412) = 412 / 412

GCD(1, 412) = 1

GCD of 471, 684, 19, 412 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 221, 912, 86, 207
• GCD of 138, 784, 49, 523
• GCD of 143, 916, 57, 317
• GCD of 291, 124, 24, 421
• GCD of 943, 811, 60, 471

1. What is the GCD of 471, 684, 19, 412?

GCD of 471, 684, 19, 412 is 1

2. Where do I get the detailed procedure to find GCD of 471, 684, 19, 412?

You can find a detailed procedure to find GCD of 471, 684, 19, 412 on our page.

3. How to find GCD of 471, 684, 19, 412 on a calculator?

You can find the GCD of 471, 684, 19, 412 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.