GCD of 384, 443, 215, 172 Calculator

Given Input numbers are 384, 443, 215, 172

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

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 443

List of positive integer divisors of 443 that divides 443 without a remainder.

1, 443

Divisors of 215

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

1, 5, 43, 215

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Greatest Common Divisior

We found the divisors of 384, 443, 215, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 384, 443, 215, 172 is 1.

Therefore, GCD of numbers 384, 443, 215, 172 is 1

Given Input Data is 384, 443, 215, 172

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

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 443 is 443

Prime Factorization of 215 is 5 x 43

Prime Factorization of 172 is 2 x 2 x 43

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(384, 443) = 170112

GCD(384, 443) = ( 384 x 443 ) / 170112

GCD(384, 443) = 170112 / 170112

GCD(384, 443) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 215

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

LCM(1, 215) = 215

GCD(1, 215) = ( 1 x 215 ) / 215

GCD(1, 215) = 215 / 215

GCD(1, 215) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 172

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

LCM(1, 172) = 172

GCD(1, 172) = ( 1 x 172 ) / 172

GCD(1, 172) = 172 / 172

GCD(1, 172) = 1

GCD of 384, 443, 215, 172 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 665, 412, 214, 110
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• GCD of 480, 169, 974, 121
• GCD of 450, 880, 874, 861
• GCD of 929, 908, 767, 604

1. What is the GCD of 384, 443, 215, 172?

GCD of 384, 443, 215, 172 is 1

2. Where do I get the detailed procedure to find GCD of 384, 443, 215, 172?

You can find a detailed procedure to find GCD of 384, 443, 215, 172 on our page.

3. How to find GCD of 384, 443, 215, 172 on a calculator?

You can find the GCD of 384, 443, 215, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.