GCD of 300, 645, 956 Calculator

Given Input numbers are 300, 645, 956

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 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Greatest Common Divisior

We found the divisors of 300, 645, 956 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 645, 956 is 1.

Therefore, GCD of numbers 300, 645, 956 is 1

Given Input Data is 300, 645, 956

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 645 is 3 x 5 x 43

Prime Factorization of 956 is 2 x 2 x 239

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, 645) = 12900

GCD(300, 645) = ( 300 x 645 ) / 12900

GCD(300, 645) = 193500 / 12900

GCD(300, 645) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 956

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

LCM(15, 956) = 14340

GCD(15, 956) = ( 15 x 956 ) / 14340

GCD(15, 956) = 14340 / 14340

GCD(15, 956) = 1

GCD of 300, 645, 956 is 1

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1. What is the GCD of 300, 645, 956?

GCD of 300, 645, 956 is 1

2. Where do I get the detailed procedure to find GCD of 300, 645, 956?

You can find a detailed procedure to find GCD of 300, 645, 956 on our page.

3. How to find GCD of 300, 645, 956 on a calculator?

You can find the GCD of 300, 645, 956 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.