GCD of 312, 195, 28, 924 Calculator

Given Input numbers are 312, 195, 28, 924

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

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Greatest Common Divisior

We found the divisors of 312, 195, 28, 924 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 195, 28, 924 is 1.

Therefore, GCD of numbers 312, 195, 28, 924 is 1

Given Input Data is 312, 195, 28, 924

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

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 195 is 3 x 5 x 13

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

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(312, 195) = 1560

GCD(312, 195) = ( 312 x 195 ) / 1560

GCD(312, 195) = 60840 / 1560

GCD(312, 195) = 39

Step2:

Here we consider the GCD from the above i.e. 39 as first number and the next as 28

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

LCM(39, 28) = 1092

GCD(39, 28) = ( 39 x 28 ) / 1092

GCD(39, 28) = 1092 / 1092

GCD(39, 28) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 924

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

LCM(1, 924) = 924

GCD(1, 924) = ( 1 x 924 ) / 924

GCD(1, 924) = 924 / 924

GCD(1, 924) = 1

GCD of 312, 195, 28, 924 is 1

Here are some samples of GCD of Numbers calculations.

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1. What is the GCD of 312, 195, 28, 924?

GCD of 312, 195, 28, 924 is 1

2. Where do I get the detailed procedure to find GCD of 312, 195, 28, 924?

You can find a detailed procedure to find GCD of 312, 195, 28, 924 on our page.

3. How to find GCD of 312, 195, 28, 924 on a calculator?

You can find the GCD of 312, 195, 28, 924 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.