GCD of 138, 145, 473, 256 Calculator

Given Input numbers are 138, 145, 473, 256

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

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Divisors of 473

List of positive integer divisors of 473 that divides 473 without a remainder.

1, 11, 43, 473

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 138, 145, 473, 256 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 138, 145, 473, 256 is 1.

Therefore, GCD of numbers 138, 145, 473, 256 is 1

Given Input Data is 138, 145, 473, 256

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

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 145 is 5 x 29

Prime Factorization of 473 is 11 x 43

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(138, 145) = 20010

GCD(138, 145) = ( 138 x 145 ) / 20010

GCD(138, 145) = 20010 / 20010

GCD(138, 145) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 473

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

LCM(1, 473) = 473

GCD(1, 473) = ( 1 x 473 ) / 473

GCD(1, 473) = 473 / 473

GCD(1, 473) = 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 138, 145, 473, 256 is 1

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1. What is the GCD of 138, 145, 473, 256?

GCD of 138, 145, 473, 256 is 1

2. Where do I get the detailed procedure to find GCD of 138, 145, 473, 256?

You can find a detailed procedure to find GCD of 138, 145, 473, 256 on our page.

3. How to find GCD of 138, 145, 473, 256 on a calculator?

You can find the GCD of 138, 145, 473, 256 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.