GCD of 256, 197, 180, 129 Calculator

Given Input numbers are 256, 197, 180, 129

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

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 197

List of positive integer divisors of 197 that divides 197 without a remainder.

1, 197

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 129

List of positive integer divisors of 129 that divides 129 without a remainder.

1, 3, 43, 129

Greatest Common Divisior

We found the divisors of 256, 197, 180, 129 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 256, 197, 180, 129 is 1.

Therefore, GCD of numbers 256, 197, 180, 129 is 1

Given Input Data is 256, 197, 180, 129

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

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

Prime Factorization of 197 is 197

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 129 is 3 x 43

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(256, 197) = 50432

GCD(256, 197) = ( 256 x 197 ) / 50432

GCD(256, 197) = 50432 / 50432

GCD(256, 197) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 180

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

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

GCD(1, 180) = 180 / 180

GCD(1, 180) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 129

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

LCM(1, 129) = 129

GCD(1, 129) = ( 1 x 129 ) / 129

GCD(1, 129) = 129 / 129

GCD(1, 129) = 1

GCD of 256, 197, 180, 129 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 969, 675, 930, 739
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• GCD of 393, 273, 809, 549

1. What is the GCD of 256, 197, 180, 129?

GCD of 256, 197, 180, 129 is 1

2. Where do I get the detailed procedure to find GCD of 256, 197, 180, 129?

You can find a detailed procedure to find GCD of 256, 197, 180, 129 on our page.

3. How to find GCD of 256, 197, 180, 129 on a calculator?

You can find the GCD of 256, 197, 180, 129 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.