GCD of 446, 964, 72, 204 Calculator

Given Input numbers are 446, 964, 72, 204

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

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Greatest Common Divisior

We found the divisors of 446, 964, 72, 204 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 446, 964, 72, 204 is 2.

Therefore, GCD of numbers 446, 964, 72, 204 is 2

Given Input Data is 446, 964, 72, 204

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

Prime Factorization of 446 is 2 x 223

Prime Factorization of 964 is 2 x 2 x 241

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 204 is 2 x 2 x 3 x 17

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(446, 964) = 214972

GCD(446, 964) = ( 446 x 964 ) / 214972

GCD(446, 964) = 429944 / 214972

GCD(446, 964) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 72

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

LCM(2, 72) = 72

GCD(2, 72) = ( 2 x 72 ) / 72

GCD(2, 72) = 144 / 72

GCD(2, 72) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 204

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

LCM(2, 204) = 204

GCD(2, 204) = ( 2 x 204 ) / 204

GCD(2, 204) = 408 / 204

GCD(2, 204) = 2

GCD of 446, 964, 72, 204 is 2

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1. What is the GCD of 446, 964, 72, 204?

GCD of 446, 964, 72, 204 is 2

2. Where do I get the detailed procedure to find GCD of 446, 964, 72, 204?

You can find a detailed procedure to find GCD of 446, 964, 72, 204 on our page.

3. How to find GCD of 446, 964, 72, 204 on a calculator?

You can find the GCD of 446, 964, 72, 204 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.