GCD of 472, 214, 31, 864 Calculator

Given Input numbers are 472, 214, 31, 864

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

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 214

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

1, 2, 107, 214

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Greatest Common Divisior

We found the divisors of 472, 214, 31, 864 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 472, 214, 31, 864 is 1.

Therefore, GCD of numbers 472, 214, 31, 864 is 1

Given Input Data is 472, 214, 31, 864

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

Prime Factorization of 472 is 2 x 2 x 2 x 59

Prime Factorization of 214 is 2 x 107

Prime Factorization of 31 is 31

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

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(472, 214) = 50504

GCD(472, 214) = ( 472 x 214 ) / 50504

GCD(472, 214) = 101008 / 50504

GCD(472, 214) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 31

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

LCM(2, 31) = 62

GCD(2, 31) = ( 2 x 31 ) / 62

GCD(2, 31) = 62 / 62

GCD(2, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 864

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

LCM(1, 864) = 864

GCD(1, 864) = ( 1 x 864 ) / 864

GCD(1, 864) = 864 / 864

GCD(1, 864) = 1

GCD of 472, 214, 31, 864 is 1

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• GCD of 517, 395, 25, 936
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1. What is the GCD of 472, 214, 31, 864?

GCD of 472, 214, 31, 864 is 1

2. Where do I get the detailed procedure to find GCD of 472, 214, 31, 864?

You can find a detailed procedure to find GCD of 472, 214, 31, 864 on our page.

3. How to find GCD of 472, 214, 31, 864 on a calculator?

You can find the GCD of 472, 214, 31, 864 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.