GCD of 617, 112, 426, 256 Calculator

Given Input numbers are 617, 112, 426, 256

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

Divisors of 617

List of positive integer divisors of 617 that divides 617 without a remainder.

1, 617

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

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 617, 112, 426, 256 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 617, 112, 426, 256 is 1.

Therefore, GCD of numbers 617, 112, 426, 256 is 1

Given Input Data is 617, 112, 426, 256

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

Prime Factorization of 617 is 617

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 426 is 2 x 3 x 71

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(617, 112) = 69104

GCD(617, 112) = ( 617 x 112 ) / 69104

GCD(617, 112) = 69104 / 69104

GCD(617, 112) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 426

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

LCM(1, 426) = 426

GCD(1, 426) = ( 1 x 426 ) / 426

GCD(1, 426) = 426 / 426

GCD(1, 426) = 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 617, 112, 426, 256 is 1

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1. What is the GCD of 617, 112, 426, 256?

GCD of 617, 112, 426, 256 is 1

2. Where do I get the detailed procedure to find GCD of 617, 112, 426, 256?

You can find a detailed procedure to find GCD of 617, 112, 426, 256 on our page.

3. How to find GCD of 617, 112, 426, 256 on a calculator?

You can find the GCD of 617, 112, 426, 256 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.