GCD of 40, 538, 187, 148 Calculator

Given Input numbers are 40, 538, 187, 148

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

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 187

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

1, 11, 17, 187

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Greatest Common Divisior

We found the divisors of 40, 538, 187, 148 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 538, 187, 148 is 1.

Therefore, GCD of numbers 40, 538, 187, 148 is 1

Given Input Data is 40, 538, 187, 148

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

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 538 is 2 x 269

Prime Factorization of 187 is 11 x 17

Prime Factorization of 148 is 2 x 2 x 37

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(40, 538) = 10760

GCD(40, 538) = ( 40 x 538 ) / 10760

GCD(40, 538) = 21520 / 10760

GCD(40, 538) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 187

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

LCM(2, 187) = 374

GCD(2, 187) = ( 2 x 187 ) / 374

GCD(2, 187) = 374 / 374

GCD(2, 187) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 148

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

LCM(1, 148) = 148

GCD(1, 148) = ( 1 x 148 ) / 148

GCD(1, 148) = 148 / 148

GCD(1, 148) = 1

GCD of 40, 538, 187, 148 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 27, 317, 304, 774
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• GCD of 82, 283, 327, 361
• GCD of 58, 616, 488, 765
• GCD of 67, 954, 168, 441

1. What is the GCD of 40, 538, 187, 148?

GCD of 40, 538, 187, 148 is 1

2. Where do I get the detailed procedure to find GCD of 40, 538, 187, 148?

You can find a detailed procedure to find GCD of 40, 538, 187, 148 on our page.

3. How to find GCD of 40, 538, 187, 148 on a calculator?

You can find the GCD of 40, 538, 187, 148 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.