GCD of 135, 123, 47, 438 Calculator

Given Input numbers are 135, 123, 47, 438

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 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Greatest Common Divisior

We found the divisors of 135, 123, 47, 438 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 135, 123, 47, 438 is 1.

Therefore, GCD of numbers 135, 123, 47, 438 is 1

Given Input Data is 135, 123, 47, 438

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 123 is 3 x 41

Prime Factorization of 47 is 47

Prime Factorization of 438 is 2 x 3 x 73

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, 123) = 5535

GCD(135, 123) = ( 135 x 123 ) / 5535

GCD(135, 123) = 16605 / 5535

GCD(135, 123) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 47

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

LCM(3, 47) = 141

GCD(3, 47) = ( 3 x 47 ) / 141

GCD(3, 47) = 141 / 141

GCD(3, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 438

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

LCM(1, 438) = 438

GCD(1, 438) = ( 1 x 438 ) / 438

GCD(1, 438) = 438 / 438

GCD(1, 438) = 1

GCD of 135, 123, 47, 438 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 528, 579, 52, 874
• GCD of 833, 561, 84, 671
• GCD of 235, 661, 52, 712
• GCD of 132, 369, 93, 685
• GCD of 438, 212, 20, 472

1. What is the GCD of 135, 123, 47, 438?

GCD of 135, 123, 47, 438 is 1

2. Where do I get the detailed procedure to find GCD of 135, 123, 47, 438?

You can find a detailed procedure to find GCD of 135, 123, 47, 438 on our page.

3. How to find GCD of 135, 123, 47, 438 on a calculator?

You can find the GCD of 135, 123, 47, 438 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.