GCD of 135, 472, 23, 208 Calculator

Given Input numbers are 135, 472, 23, 208

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

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Greatest Common Divisior

We found the divisors of 135, 472, 23, 208 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 135, 472, 23, 208 is 1.

Therefore, GCD of numbers 135, 472, 23, 208 is 1

Given Input Data is 135, 472, 23, 208

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

Prime Factorization of 135 is 3 x 3 x 3 x 5

Prime Factorization of 472 is 2 x 2 x 2 x 59

Prime Factorization of 23 is 23

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

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(135, 472) = 63720

GCD(135, 472) = ( 135 x 472 ) / 63720

GCD(135, 472) = 63720 / 63720

GCD(135, 472) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 23

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

LCM(1, 23) = 23

GCD(1, 23) = ( 1 x 23 ) / 23

GCD(1, 23) = 23 / 23

GCD(1, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 208

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

LCM(1, 208) = 208

GCD(1, 208) = ( 1 x 208 ) / 208

GCD(1, 208) = 208 / 208

GCD(1, 208) = 1

GCD of 135, 472, 23, 208 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 530, 126, 49, 395
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• GCD of 164, 571, 11, 321

1. What is the GCD of 135, 472, 23, 208?

GCD of 135, 472, 23, 208 is 1

2. Where do I get the detailed procedure to find GCD of 135, 472, 23, 208?

You can find a detailed procedure to find GCD of 135, 472, 23, 208 on our page.

3. How to find GCD of 135, 472, 23, 208 on a calculator?

You can find the GCD of 135, 472, 23, 208 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.