GCD of 496, 256, 77, 928 Calculator

Given Input numbers are 496, 256, 77, 928

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

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

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 77

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

1, 7, 11, 77

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Greatest Common Divisior

We found the divisors of 496, 256, 77, 928 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 496, 256, 77, 928 is 1.

Therefore, GCD of numbers 496, 256, 77, 928 is 1

Given Input Data is 496, 256, 77, 928

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

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

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

Prime Factorization of 77 is 7 x 11

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

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(496, 256) = 7936

GCD(496, 256) = ( 496 x 256 ) / 7936

GCD(496, 256) = 126976 / 7936

GCD(496, 256) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 77

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

LCM(16, 77) = 1232

GCD(16, 77) = ( 16 x 77 ) / 1232

GCD(16, 77) = 1232 / 1232

GCD(16, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 928

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

LCM(1, 928) = 928

GCD(1, 928) = ( 1 x 928 ) / 928

GCD(1, 928) = 928 / 928

GCD(1, 928) = 1

GCD of 496, 256, 77, 928 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 718, 255, 70, 528
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• GCD of 581, 238, 68, 200

1. What is the GCD of 496, 256, 77, 928?

GCD of 496, 256, 77, 928 is 1

2. Where do I get the detailed procedure to find GCD of 496, 256, 77, 928?

You can find a detailed procedure to find GCD of 496, 256, 77, 928 on our page.

3. How to find GCD of 496, 256, 77, 928 on a calculator?

You can find the GCD of 496, 256, 77, 928 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.