GCD of 382, 914, 892, 366 Calculator

Given Input numbers are 382, 914, 892, 366

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 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Greatest Common Divisior

We found the divisors of 382, 914, 892, 366 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 382, 914, 892, 366 is 2.

Therefore, GCD of numbers 382, 914, 892, 366 is 2

Given Input Data is 382, 914, 892, 366

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

Prime Factorization of 382 is 2 x 191

Prime Factorization of 914 is 2 x 457

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 366 is 2 x 3 x 61

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, 914) = 174574

GCD(382, 914) = ( 382 x 914 ) / 174574

GCD(382, 914) = 349148 / 174574

GCD(382, 914) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 892

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

LCM(2, 892) = 892

GCD(2, 892) = ( 2 x 892 ) / 892

GCD(2, 892) = 1784 / 892

GCD(2, 892) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 366

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

LCM(2, 366) = 366

GCD(2, 366) = ( 2 x 366 ) / 366

GCD(2, 366) = 732 / 366

GCD(2, 366) = 2

GCD of 382, 914, 892, 366 is 2

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1. What is the GCD of 382, 914, 892, 366?

GCD of 382, 914, 892, 366 is 2

2. Where do I get the detailed procedure to find GCD of 382, 914, 892, 366?

You can find a detailed procedure to find GCD of 382, 914, 892, 366 on our page.

3. How to find GCD of 382, 914, 892, 366 on a calculator?

You can find the GCD of 382, 914, 892, 366 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.