GCD of 75, 138, 187, 913 Calculator

Given Input numbers are 75, 138, 187, 913

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

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

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 187

List of positive integer divisors of 187 that divides 187 without a remainder.

1, 11, 17, 187

Divisors of 913

List of positive integer divisors of 913 that divides 913 without a remainder.

1, 11, 83, 913

Greatest Common Divisior

We found the divisors of 75, 138, 187, 913 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 138, 187, 913 is 1.

Therefore, GCD of numbers 75, 138, 187, 913 is 1

Given Input Data is 75, 138, 187, 913

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

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 187 is 11 x 17

Prime Factorization of 913 is 11 x 83

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(75, 138) = 3450

GCD(75, 138) = ( 75 x 138 ) / 3450

GCD(75, 138) = 10350 / 3450

GCD(75, 138) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 187

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

LCM(3, 187) = 561

GCD(3, 187) = ( 3 x 187 ) / 561

GCD(3, 187) = 561 / 561

GCD(3, 187) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 913

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

LCM(1, 913) = 913

GCD(1, 913) = ( 1 x 913 ) / 913

GCD(1, 913) = 913 / 913

GCD(1, 913) = 1

GCD of 75, 138, 187, 913 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 71, 652, 671, 347
• GCD of 97, 939, 348, 764
• GCD of 33, 974, 661, 485
• GCD of 27, 489, 743, 869
• GCD of 68, 671, 455, 369

1. What is the GCD of 75, 138, 187, 913?

GCD of 75, 138, 187, 913 is 1

2. Where do I get the detailed procedure to find GCD of 75, 138, 187, 913?

You can find a detailed procedure to find GCD of 75, 138, 187, 913 on our page.

3. How to find GCD of 75, 138, 187, 913 on a calculator?

You can find the GCD of 75, 138, 187, 913 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.