GCD of 381, 431, 87, 287 Calculator

Given Input numbers are 381, 431, 87, 287

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

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Divisors of 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 287

List of positive integer divisors of 287 that divides 287 without a remainder.

1, 7, 41, 287

Greatest Common Divisior

We found the divisors of 381, 431, 87, 287 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 381, 431, 87, 287 is 1.

Therefore, GCD of numbers 381, 431, 87, 287 is 1

Given Input Data is 381, 431, 87, 287

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

Prime Factorization of 381 is 3 x 127

Prime Factorization of 431 is 431

Prime Factorization of 87 is 3 x 29

Prime Factorization of 287 is 7 x 41

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(381, 431) = 164211

GCD(381, 431) = ( 381 x 431 ) / 164211

GCD(381, 431) = 164211 / 164211

GCD(381, 431) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 87

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

LCM(1, 87) = 87

GCD(1, 87) = ( 1 x 87 ) / 87

GCD(1, 87) = 87 / 87

GCD(1, 87) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 287

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

LCM(1, 287) = 287

GCD(1, 287) = ( 1 x 287 ) / 287

GCD(1, 287) = 287 / 287

GCD(1, 287) = 1

GCD of 381, 431, 87, 287 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 837, 960, 30, 103
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• GCD of 968, 121, 43, 455

1. What is the GCD of 381, 431, 87, 287?

GCD of 381, 431, 87, 287 is 1

2. Where do I get the detailed procedure to find GCD of 381, 431, 87, 287?

You can find a detailed procedure to find GCD of 381, 431, 87, 287 on our page.

3. How to find GCD of 381, 431, 87, 287 on a calculator?

You can find the GCD of 381, 431, 87, 287 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.