GCD of 300, 287, 135, 433 Calculator

Given Input numbers are 300, 287, 135, 433

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

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 287

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

1, 7, 41, 287

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 433

List of positive integer divisors of 433 that divides 433 without a remainder.

1, 433

Greatest Common Divisior

We found the divisors of 300, 287, 135, 433 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 287, 135, 433 is 1.

Therefore, GCD of numbers 300, 287, 135, 433 is 1

Given Input Data is 300, 287, 135, 433

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

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 287 is 7 x 41

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

Prime Factorization of 433 is 433

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(300, 287) = 86100

GCD(300, 287) = ( 300 x 287 ) / 86100

GCD(300, 287) = 86100 / 86100

GCD(300, 287) = 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 433

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

LCM(1, 433) = 433

GCD(1, 433) = ( 1 x 433 ) / 433

GCD(1, 433) = 433 / 433

GCD(1, 433) = 1

GCD of 300, 287, 135, 433 is 1

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1. What is the GCD of 300, 287, 135, 433?

GCD of 300, 287, 135, 433 is 1

2. Where do I get the detailed procedure to find GCD of 300, 287, 135, 433?

You can find a detailed procedure to find GCD of 300, 287, 135, 433 on our page.

3. How to find GCD of 300, 287, 135, 433 on a calculator?

You can find the GCD of 300, 287, 135, 433 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.