GCD of 495, 384, 77, 256 Calculator

Given Input numbers are 495, 384, 77, 256

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

Divisors of 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

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 495, 384, 77, 256 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 495, 384, 77, 256 is 1.

Therefore, GCD of numbers 495, 384, 77, 256 is 1

Given Input Data is 495, 384, 77, 256

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

Prime Factorization of 495 is 3 x 3 x 5 x 11

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 77 is 7 x 11

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

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(495, 384) = 63360

GCD(495, 384) = ( 495 x 384 ) / 63360

GCD(495, 384) = 190080 / 63360

GCD(495, 384) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 77

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

LCM(3, 77) = 231

GCD(3, 77) = ( 3 x 77 ) / 231

GCD(3, 77) = 231 / 231

GCD(3, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 256

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

LCM(1, 256) = 256

GCD(1, 256) = ( 1 x 256 ) / 256

GCD(1, 256) = 256 / 256

GCD(1, 256) = 1

GCD of 495, 384, 77, 256 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 814, 539, 15, 441
• GCD of 645, 767, 50, 945
• GCD of 655, 816, 54, 680
• GCD of 476, 772, 29, 948
• GCD of 432, 500, 14, 106

1. What is the GCD of 495, 384, 77, 256?

GCD of 495, 384, 77, 256 is 1

2. Where do I get the detailed procedure to find GCD of 495, 384, 77, 256?

You can find a detailed procedure to find GCD of 495, 384, 77, 256 on our page.

3. How to find GCD of 495, 384, 77, 256 on a calculator?

You can find the GCD of 495, 384, 77, 256 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.