GCD of 366, 972, 256 Calculator

Given Input numbers are 366, 972, 256

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

Divisors of 366

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

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

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 256

List of positive integer divisors of 256 that divides 256 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256

Greatest Common Divisior

We found the divisors of 366, 972, 256 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 366, 972, 256 is 2.

Therefore, GCD of numbers 366, 972, 256 is 2

Given Input Data is 366, 972, 256

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

Prime Factorization of 366 is 2 x 3 x 61

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

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(366, 972) = 59292

GCD(366, 972) = ( 366 x 972 ) / 59292

GCD(366, 972) = 355752 / 59292

GCD(366, 972) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 256

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

LCM(6, 256) = 768

GCD(6, 256) = ( 6 x 256 ) / 768

GCD(6, 256) = 1536 / 768

GCD(6, 256) = 2

GCD of 366, 972, 256 is 2

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1. What is the GCD of 366, 972, 256?

GCD of 366, 972, 256 is 2

2. Where do I get the detailed procedure to find GCD of 366, 972, 256?

You can find a detailed procedure to find GCD of 366, 972, 256 on our page.

3. How to find GCD of 366, 972, 256 on a calculator?

You can find the GCD of 366, 972, 256 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.