GCD of 331, 419, 135, 187 Calculator

Given Input numbers are 331, 419, 135, 187

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

Divisors of 331

List of positive integer divisors of 331 that divides 331 without a remainder.

1, 331

Divisors of 419

List of positive integer divisors of 419 that divides 419 without a remainder.

1, 419

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 187

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

1, 11, 17, 187

Greatest Common Divisior

We found the divisors of 331, 419, 135, 187 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 331, 419, 135, 187 is 1.

Therefore, GCD of numbers 331, 419, 135, 187 is 1

Given Input Data is 331, 419, 135, 187

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

Prime Factorization of 331 is 331

Prime Factorization of 419 is 419

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

Prime Factorization of 187 is 11 x 17

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(331, 419) = 138689

GCD(331, 419) = ( 331 x 419 ) / 138689

GCD(331, 419) = 138689 / 138689

GCD(331, 419) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 135

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

LCM(1, 135) = 135

GCD(1, 135) = ( 1 x 135 ) / 135

GCD(1, 135) = 135 / 135

GCD(1, 135) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 187

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

LCM(1, 187) = 187

GCD(1, 187) = ( 1 x 187 ) / 187

GCD(1, 187) = 187 / 187

GCD(1, 187) = 1

GCD of 331, 419, 135, 187 is 1

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1. What is the GCD of 331, 419, 135, 187?

GCD of 331, 419, 135, 187 is 1

2. Where do I get the detailed procedure to find GCD of 331, 419, 135, 187?

You can find a detailed procedure to find GCD of 331, 419, 135, 187 on our page.

3. How to find GCD of 331, 419, 135, 187 on a calculator?

You can find the GCD of 331, 419, 135, 187 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.