GCD of 300, 845, 434 Calculator

Given Input numbers are 300, 845, 434

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 845

List of positive integer divisors of 845 that divides 845 without a remainder.

1, 5, 13, 65, 169, 845

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Greatest Common Divisior

We found the divisors of 300, 845, 434 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 845, 434 is 1.

Therefore, GCD of numbers 300, 845, 434 is 1

Given Input Data is 300, 845, 434

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 845 is 5 x 13 x 13

Prime Factorization of 434 is 2 x 7 x 31

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, 845) = 50700

GCD(300, 845) = ( 300 x 845 ) / 50700

GCD(300, 845) = 253500 / 50700

GCD(300, 845) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 434

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

LCM(5, 434) = 2170

GCD(5, 434) = ( 5 x 434 ) / 2170

GCD(5, 434) = 2170 / 2170

GCD(5, 434) = 1

GCD of 300, 845, 434 is 1

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1. What is the GCD of 300, 845, 434?

GCD of 300, 845, 434 is 1

2. Where do I get the detailed procedure to find GCD of 300, 845, 434?

You can find a detailed procedure to find GCD of 300, 845, 434 on our page.

3. How to find GCD of 300, 845, 434 on a calculator?

You can find the GCD of 300, 845, 434 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.