GCD of 375, 272, 39, 216 Calculator

Given Input numbers are 375, 272, 39, 216

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

Divisors of 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Greatest Common Divisior

We found the divisors of 375, 272, 39, 216 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 375, 272, 39, 216 is 1.

Therefore, GCD of numbers 375, 272, 39, 216 is 1

Given Input Data is 375, 272, 39, 216

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

Prime Factorization of 375 is 3 x 5 x 5 x 5

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

Prime Factorization of 39 is 3 x 13

Prime Factorization of 216 is 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(375, 272) = 102000

GCD(375, 272) = ( 375 x 272 ) / 102000

GCD(375, 272) = 102000 / 102000

GCD(375, 272) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 39

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

LCM(1, 39) = 39

GCD(1, 39) = ( 1 x 39 ) / 39

GCD(1, 39) = 39 / 39

GCD(1, 39) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 216

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

LCM(1, 216) = 216

GCD(1, 216) = ( 1 x 216 ) / 216

GCD(1, 216) = 216 / 216

GCD(1, 216) = 1

GCD of 375, 272, 39, 216 is 1

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1. What is the GCD of 375, 272, 39, 216?

GCD of 375, 272, 39, 216 is 1

2. Where do I get the detailed procedure to find GCD of 375, 272, 39, 216?

You can find a detailed procedure to find GCD of 375, 272, 39, 216 on our page.

3. How to find GCD of 375, 272, 39, 216 on a calculator?

You can find the GCD of 375, 272, 39, 216 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.