GCD of 164, 256, 72, 383 Calculator

Given Input numbers are 164, 256, 72, 383

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

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

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

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 383

List of positive integer divisors of 383 that divides 383 without a remainder.

1, 383

Greatest Common Divisior

We found the divisors of 164, 256, 72, 383 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 164, 256, 72, 383 is 1.

Therefore, GCD of numbers 164, 256, 72, 383 is 1

Given Input Data is 164, 256, 72, 383

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

Prime Factorization of 164 is 2 x 2 x 41

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

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

Prime Factorization of 383 is 383

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(164, 256) = 10496

GCD(164, 256) = ( 164 x 256 ) / 10496

GCD(164, 256) = 41984 / 10496

GCD(164, 256) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 72

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

LCM(4, 72) = 72

GCD(4, 72) = ( 4 x 72 ) / 72

GCD(4, 72) = 288 / 72

GCD(4, 72) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 383

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

LCM(4, 383) = 1532

GCD(4, 383) = ( 4 x 383 ) / 1532

GCD(4, 383) = 1532 / 1532

GCD(4, 383) = 1

GCD of 164, 256, 72, 383 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 544, 896, 74, 367
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• GCD of 607, 325, 41, 981
• GCD of 263, 210, 62, 957

1. What is the GCD of 164, 256, 72, 383?

GCD of 164, 256, 72, 383 is 1

2. Where do I get the detailed procedure to find GCD of 164, 256, 72, 383?

You can find a detailed procedure to find GCD of 164, 256, 72, 383 on our page.

3. How to find GCD of 164, 256, 72, 383 on a calculator?

You can find the GCD of 164, 256, 72, 383 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.