GCD of 128, 106, 242, 131 Calculator

Given Input numbers are 128, 106, 242, 131

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

Divisors of 128

List of positive integer divisors of 128 that divides 128 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128

Divisors of 106

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

1, 2, 53, 106

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Divisors of 131

List of positive integer divisors of 131 that divides 131 without a remainder.

1, 131

Greatest Common Divisior

We found the divisors of 128, 106, 242, 131 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 128, 106, 242, 131 is 1.

Therefore, GCD of numbers 128, 106, 242, 131 is 1

Given Input Data is 128, 106, 242, 131

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

Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 106 is 2 x 53

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 131 is 131

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(128, 106) = 6784

GCD(128, 106) = ( 128 x 106 ) / 6784

GCD(128, 106) = 13568 / 6784

GCD(128, 106) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 242

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

LCM(2, 242) = 242

GCD(2, 242) = ( 2 x 242 ) / 242

GCD(2, 242) = 484 / 242

GCD(2, 242) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 131

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

LCM(2, 131) = 262

GCD(2, 131) = ( 2 x 131 ) / 262

GCD(2, 131) = 262 / 262

GCD(2, 131) = 1

GCD of 128, 106, 242, 131 is 1

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1. What is the GCD of 128, 106, 242, 131?

GCD of 128, 106, 242, 131 is 1

2. Where do I get the detailed procedure to find GCD of 128, 106, 242, 131?

You can find a detailed procedure to find GCD of 128, 106, 242, 131 on our page.

3. How to find GCD of 128, 106, 242, 131 on a calculator?

You can find the GCD of 128, 106, 242, 131 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.