GCD of 472, 996, 215, 214 Calculator

Given Input numbers are 472, 996, 215, 214

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 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 215

List of positive integer divisors of 215 that divides 215 without a remainder.

1, 5, 43, 215

Divisors of 214

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

1, 2, 107, 214

Greatest Common Divisior

We found the divisors of 472, 996, 215, 214 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 472, 996, 215, 214 is 1.

Therefore, GCD of numbers 472, 996, 215, 214 is 1

Given Input Data is 472, 996, 215, 214

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 996 is 2 x 2 x 3 x 83

Prime Factorization of 215 is 5 x 43

Prime Factorization of 214 is 2 x 107

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, 996) = 117528

GCD(472, 996) = ( 472 x 996 ) / 117528

GCD(472, 996) = 470112 / 117528

GCD(472, 996) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 215

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

LCM(4, 215) = 860

GCD(4, 215) = ( 4 x 215 ) / 860

GCD(4, 215) = 860 / 860

GCD(4, 215) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 214

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

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

GCD(1, 214) = 214 / 214

GCD(1, 214) = 1

GCD of 472, 996, 215, 214 is 1

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1. What is the GCD of 472, 996, 215, 214?

GCD of 472, 996, 215, 214 is 1

2. Where do I get the detailed procedure to find GCD of 472, 996, 215, 214?

You can find a detailed procedure to find GCD of 472, 996, 215, 214 on our page.

3. How to find GCD of 472, 996, 215, 214 on a calculator?

You can find the GCD of 472, 996, 215, 214 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.