GCD of 894, 752, 367, 321 Calculator

Given Input numbers are 894, 752, 367, 321

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

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 367

List of positive integer divisors of 367 that divides 367 without a remainder.

1, 367

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Greatest Common Divisior

We found the divisors of 894, 752, 367, 321 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 894, 752, 367, 321 is 1.

Therefore, GCD of numbers 894, 752, 367, 321 is 1

Given Input Data is 894, 752, 367, 321

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

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

Prime Factorization of 367 is 367

Prime Factorization of 321 is 3 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(894, 752) = 336144

GCD(894, 752) = ( 894 x 752 ) / 336144

GCD(894, 752) = 672288 / 336144

GCD(894, 752) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 367

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

LCM(2, 367) = 734

GCD(2, 367) = ( 2 x 367 ) / 734

GCD(2, 367) = 734 / 734

GCD(2, 367) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 321

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

LCM(1, 321) = 321

GCD(1, 321) = ( 1 x 321 ) / 321

GCD(1, 321) = 321 / 321

GCD(1, 321) = 1

GCD of 894, 752, 367, 321 is 1

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1. What is the GCD of 894, 752, 367, 321?

GCD of 894, 752, 367, 321 is 1

2. Where do I get the detailed procedure to find GCD of 894, 752, 367, 321?

You can find a detailed procedure to find GCD of 894, 752, 367, 321 on our page.

3. How to find GCD of 894, 752, 367, 321 on a calculator?

You can find the GCD of 894, 752, 367, 321 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.