GCD of 831, 654, 305, 256 Calculator

Given Input numbers are 831, 654, 305, 256

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

Divisors of 831

List of positive integer divisors of 831 that divides 831 without a remainder.

1, 3, 277, 831

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

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 831, 654, 305, 256 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 831, 654, 305, 256 is 1.

Therefore, GCD of numbers 831, 654, 305, 256 is 1

Given Input Data is 831, 654, 305, 256

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

Prime Factorization of 831 is 3 x 277

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 305 is 5 x 61

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(831, 654) = 181158

GCD(831, 654) = ( 831 x 654 ) / 181158

GCD(831, 654) = 543474 / 181158

GCD(831, 654) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 305

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

LCM(3, 305) = 915

GCD(3, 305) = ( 3 x 305 ) / 915

GCD(3, 305) = 915 / 915

GCD(3, 305) = 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 831, 654, 305, 256 is 1

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1. What is the GCD of 831, 654, 305, 256?

GCD of 831, 654, 305, 256 is 1

2. Where do I get the detailed procedure to find GCD of 831, 654, 305, 256?

You can find a detailed procedure to find GCD of 831, 654, 305, 256 on our page.

3. How to find GCD of 831, 654, 305, 256 on a calculator?

You can find the GCD of 831, 654, 305, 256 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.