GCD of 382, 308, 402, 894 Calculator

Given Input numbers are 382, 308, 402, 894

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

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 894

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

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

Greatest Common Divisior

We found the divisors of 382, 308, 402, 894 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 382, 308, 402, 894 is 2.

Therefore, GCD of numbers 382, 308, 402, 894 is 2

Given Input Data is 382, 308, 402, 894

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

Prime Factorization of 382 is 2 x 191

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 894 is 2 x 3 x 149

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(382, 308) = 58828

GCD(382, 308) = ( 382 x 308 ) / 58828

GCD(382, 308) = 117656 / 58828

GCD(382, 308) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 402

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

LCM(2, 402) = 402

GCD(2, 402) = ( 2 x 402 ) / 402

GCD(2, 402) = 804 / 402

GCD(2, 402) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 894

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

LCM(2, 894) = 894

GCD(2, 894) = ( 2 x 894 ) / 894

GCD(2, 894) = 1788 / 894

GCD(2, 894) = 2

GCD of 382, 308, 402, 894 is 2

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1. What is the GCD of 382, 308, 402, 894?

GCD of 382, 308, 402, 894 is 2

2. Where do I get the detailed procedure to find GCD of 382, 308, 402, 894?

You can find a detailed procedure to find GCD of 382, 308, 402, 894 on our page.

3. How to find GCD of 382, 308, 402, 894 on a calculator?

You can find the GCD of 382, 308, 402, 894 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.