GCD of 106, 249, 256, 155 Calculator

Given Input numbers are 106, 249, 256, 155

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

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

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 155

List of positive integer divisors of 155 that divides 155 without a remainder.

1, 5, 31, 155

Greatest Common Divisior

We found the divisors of 106, 249, 256, 155 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 106, 249, 256, 155 is 1.

Therefore, GCD of numbers 106, 249, 256, 155 is 1

Given Input Data is 106, 249, 256, 155

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

Prime Factorization of 106 is 2 x 53

Prime Factorization of 249 is 3 x 83

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

Prime Factorization of 155 is 5 x 31

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(106, 249) = 26394

GCD(106, 249) = ( 106 x 249 ) / 26394

GCD(106, 249) = 26394 / 26394

GCD(106, 249) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 155

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

LCM(1, 155) = 155

GCD(1, 155) = ( 1 x 155 ) / 155

GCD(1, 155) = 155 / 155

GCD(1, 155) = 1

GCD of 106, 249, 256, 155 is 1

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• GCD of 297, 414, 295, 632
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1. What is the GCD of 106, 249, 256, 155?

GCD of 106, 249, 256, 155 is 1

2. Where do I get the detailed procedure to find GCD of 106, 249, 256, 155?

You can find a detailed procedure to find GCD of 106, 249, 256, 155 on our page.

3. How to find GCD of 106, 249, 256, 155 on a calculator?

You can find the GCD of 106, 249, 256, 155 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.