GCD of 374, 936, 216, 319 Calculator

Given Input numbers are 374, 936, 216, 319

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

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 936

List of positive integer divisors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

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

Divisors of 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Greatest Common Divisior

We found the divisors of 374, 936, 216, 319 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 374, 936, 216, 319 is 1.

Therefore, GCD of numbers 374, 936, 216, 319 is 1

Given Input Data is 374, 936, 216, 319

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

Prime Factorization of 374 is 2 x 11 x 17

Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 319 is 11 x 29

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(374, 936) = 175032

GCD(374, 936) = ( 374 x 936 ) / 175032

GCD(374, 936) = 350064 / 175032

GCD(374, 936) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 216

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

LCM(2, 216) = 216

GCD(2, 216) = ( 2 x 216 ) / 216

GCD(2, 216) = 432 / 216

GCD(2, 216) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 319

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

LCM(2, 319) = 638

GCD(2, 319) = ( 2 x 319 ) / 638

GCD(2, 319) = 638 / 638

GCD(2, 319) = 1

GCD of 374, 936, 216, 319 is 1

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1. What is the GCD of 374, 936, 216, 319?

GCD of 374, 936, 216, 319 is 1

2. Where do I get the detailed procedure to find GCD of 374, 936, 216, 319?

You can find a detailed procedure to find GCD of 374, 936, 216, 319 on our page.

3. How to find GCD of 374, 936, 216, 319 on a calculator?

You can find the GCD of 374, 936, 216, 319 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.